{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Chapter 3, demo 6\n",
    "\n",
    "Bayesian Data Analysis, 3rd ed\n",
    "\n",
    "Illustrate posterior inference for Bioassay data (BDA3 p. 74-)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Instructions for exercise (3.11 in BDA3)\n",
    "- Check that the range and spacing of A and B are sensible for the \n",
    "  alternative prior\n",
    "- Compute the log-posterior in a grid\n",
    "- Scale the log-posterior by subtracting its maximum value before\n",
    "  exponentiating (think why this is useful)\n",
    "- Exponentiate\n",
    "- Normalize the posterior\n",
    "- Use 2D grid sampling \n",
    "- In addition to the plots, report p(beta>0|x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from scipy.special import expit  # aka logistic\n",
    "import matplotlib.pyplot as plt\n",
    "import preliz as pz\n",
    "pz.style.use('preliz-doc')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# seed a random state\n",
    "rng = np.random.RandomState(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# data\n",
    "x = np.array([-0.86, -0.30, -0.05, 0.73])\n",
    "n = np.array([5, 5, 5, 5])\n",
    "y = np.array([0, 1, 3, 5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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      "text/plain": [
       "<Figure size 1150x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the data\n",
    "plt.scatter(x, y/n, 50, color='C2')\n",
    "plt.xlim((-1, 1))\n",
    "plt.xlabel('log dose')\n",
    "plt.ylabel('proportion of deaths');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# compute the posterior density in grid\n",
    "#  - usually should be computed in logarithms!\n",
    "#  - with alternative prior, check that range and spacing of A and B\n",
    "#    are sensible\n",
    "A = np.linspace(-4, 8, 100)\n",
    "B = np.linspace(-10, 40, 100)\n",
    "ilogit_abx = 1 / (np.exp(-(A[:,None] + B[:,None,None] * x)) + 1)\n",
    "p = np.prod(ilogit_abx**y * (1 - ilogit_abx)**(n - y), axis=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following demonstrates an alternative \"bad\" way of calcuting the posterior density p in a for loop. The vectorised statement above is numerically more efficient. In this small example however, it would not matter that much.\n",
    "\n",
    "```python\n",
    "p = np.empty((len(B),len(A))) # allocate space\n",
    "for i in range(len(A)):\n",
    "    for j in range(len(B)):\n",
    "        ilogit_abx_ij = (1 / (np.exp(-(A[i] + B[j] * x)) + 1))\n",
    "        p[j,i] = np.prod(ilogit_abx_ij**y * (1 - ilogit_abx_ij)**(n - y))\n",
    "```\n",
    "\n",
    "N.B. the vectorised expression could be made even more efficient, e.g. by optimising memory usage with in-place statements. However, it would result in a less readable code and it is not necessary here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# sample from the grid\n",
    "nsamp = 1000\n",
    "samp_indices = np.unravel_index(\n",
    "    rng.choice(p.size, size=nsamp, p=p.ravel()/np.sum(p)),\n",
    "    p.shape\n",
    ")\n",
    "samp_A = A[samp_indices[1]]\n",
    "samp_B = B[samp_indices[0]]\n",
    "# add random jitter, see BDA3 p. 76\n",
    "samp_A += (rng.rand(nsamp) - 0.5) * (A[1]-A[0])\n",
    "samp_B += (rng.rand(nsamp) - 0.5) * (B[1]-B[0])\n",
    "\n",
    "# samples of LD50 conditional beta > 0\n",
    "bpi = samp_B > 0\n",
    "samp_ld50 = -samp_A[bpi]/samp_B[bpi]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, (ax_post, ax_samps) = plt.subplots(2, 1, figsize=(7, 8), sharex=True)\n",
    "xlim, ylim = [-2, 8], [-2, 40]\n",
    "\n",
    "# Posterior density\n",
    "ax_post.imshow(\n",
    "    p, origin=\"lower\", aspect=\"auto\",\n",
    "    extent=(A[0], A[-1], B[0], B[-1])\n",
    ")\n",
    "ax_post.set(\n",
    "    xlim=xlim, ylim=ylim,\n",
    "    ylabel=r\"$\\beta$\", title=\"posterior density\"\n",
    ")\n",
    "ax_post.grid(False)\n",
    "\n",
    "# Posterior samples\n",
    "ax_samps.scatter(samp_A, samp_B, s=10, linewidths=0)\n",
    "ax_samps.set(\n",
    "    xlim=xlim, ylim=ylim,\n",
    "    xlabel=r\"$\\alpha$\", ylabel=r\"$\\beta$\", title=\"samples\"\n",
    ");\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fh39cMajRwO5QQREvb9nGzNQ0tZQhytuL+7snc3+PZPU+mWXlvL51J5/uP6huwHMGxGNioimureHrg0dYXi/bHOHlRY3FQnFtLRabDTedFpPVhgLnBMXdggIZ0yWaMTGduSIqwqVeujZFYfPpHL47fJRZR4812CgY4eXFmC6dGRPTmV6hISw5mcE3h47w9LqNDa4R4+fLuNgYxnaJZmhUJB4G+adWiIuJ/H+sEEJcomyKwmtbd/DCxq3YFIVuQYHMuOFaeoY2nvl1yqmo5OpZc0kvKyPGz5evr7+GoR0izznvwJlCXt6yjVlHjqlB8dgu0TzcqwfXRXdS65bXZp3iPzt2s/BEOjZHJV+UtxcP9uxO/7Awvj9ylGfXb1IzrgHubgyNjORAQQEny8oBMGg0mBVFrSd26hrgz51JXbkjsStdAwNc/lkVVFXz+YFDfLT3ACdL69rIBXm4M6lrHHckdqVPWAiLTqTzxYHDLE3/uUEWe1BkOONiYxgfG0NyUKB0jRDiIibBsRBCXILOVFVz9+Jl/JyeCcC93ZJ4/+or8TQYzvu+ouoarvtxHsdLSon29WX97TcT5dNwmujBgkJe3LSNHx0lGgAT42P52+D+9KoXeG86lcPfNm5hVWa2+tqoTh14pFcPAj3ceWnTNl7YuFU91icshNsT4ll4PIMFJ04C9syyVVEw19seE+bpyd3JCdyZlECv0OBWBaLbcnJ5f/d+Zh5JU4Nzb4OBCfFduCOxK1d37sjBwiKm7d7H2DkLKDfVjRDpGxbKXckJ3JYQT4S31A0LcamQ4FgIIS4xG0+d5rYFSzlVUYmHXs/7o67kvh4XbjFVYTJxw+wF7C8oJNzLkxW33tQgMK40mXlx01b+u3OPOhzk5vhYXhgygJSQYPW8Hbl5vLBxK0tOZgD2+uYHeiTzeJ+eVJjN/G3DFpY6gnaDVsttifE80rMH+84U8NTajVSYzeoADud9NMDITh14ZkBfRnXu2Gh/4eYyW618l3qU93btU7t1gD04n9IrhdsT4zFotcxJO8HIH+awoV5ddLSvL3clJ/C7pK4k1mtzJ4S4dEhwLIQQl5BvDx/hnsXLsSoKCYH+zBp3PT3qBa5NqbFYuGnuIrbk5BLg7sbyW25S25ABLD6RziMr1pDhKHO4Ka4L/7hiYINrHzhTyPMbNzPvWF3W977uSTw/qD9lJhPPrt+kHtNrtdzvOKbRaPj9zyvVLDfUtWFz0+m4p1sizw/q79KmuvrMVivTDx3hlS3b1dIJo07LbQnxPNIrhYERYZypquY/O/bw0d79aqcJvVbLzfGxPNKrB0M7RLYqMBdCtH8SHAshxCVi3rETamB8W0I8/7tuJD6O6aDnY7HZuGPhz6zMzMbLYGDJzePpHhIE2OuPH19V1+Wis68P74+6khti63rFV5nN/GPzNv69fTdWRUGr0XBXUgIvDBmAr9HI/63dwNcHU1GwT767OzmBFwYPIMbPl68OpvLYqrUNyhXAXtrwl4F9+VO/Pq3u7mC2Wvn6UCr/3LJDDYpDPT14om8vft+jGyGeHuRVVvHUmg18uPcA1Y6exaGeHjyYYh9wcnZpiRDi0iXBsRBCXAJWZmRx64IlWBWFyd0S+Xz01c3KcCqKwgNLVzL32AncdDrmT7iBgRHhKIrC//Yd5Ol1GymtNaHTaHiiby9eGjIQL2Nd3fKy9EweWr5aDTonxHfh1aGDSQgM4OuDqfx57Qa1rdttCfG8OGQAiUGB1Fqs3DJ/iTpUxEmn0TCldwr/vWoo2laO3rXabHx58DCvbN5BelldUPx0/z481LMHXkYD+Y6g+IM9+9WguF9YKI/37cmkrucfcCKEuDRJcCyEEBe5zadzuHHuIkxWGxPiu/DpdaOa/av/zw8c4utDqeg0GmaOG83ITh2pNJn5/bKVfJ+aBtiDxU+uHdmgv3F+ZRV/WrOBGYePANDBx5v3R13J+LgupBWXcPWsuepGvJ4hwXxy7QgGRIQDcKayiiHf/XjOxLxhUZHMGjeasDbY3LbpVA5TVq5RB4uEeXry9IA+PNSzO54GA2eqqnlp8zbe371PnW43IDyMl64YyHXRnaTbhBCXMQmOhRDiIrbvTAFjflpApdnMNZ078t0No5ucXHe2gqpqnl67CYDXhg3hRkdgO3HeYg4UFKLXanl92GCe6NurwTjprw8e5snVGyiqqUEDPNanJy8PHYSbTscrm7fzyhb7IAwPvZ4Xhwzgyb691J7Dc44e445FyxoMygj28ODL0aMalGq4KreykmfWbuLrQ6kA+Lu58fygfjzcqweeBgMmq5V/b9/FPzZvU0s5+oWF8tIVA7k+prMExUIICY6FEOJilVZcwrWz5lFSW8uQyAjm3HhDi8oAnlm3iaKaGnoEB/FE354sPH6SuxYvo7TWRLiXJ7PGXd+gv3G12cKUlWv44oB9Yl7PkGD+d+1I+keEkVZcwqT5S9h7xp6pvTa6Ex9efRVdHJv6zlRV8/ufVzL/+MkGa/hdUlc+umYE3s2ojT4fs9XKtN37+PumrZSb7N0uHuiRzKvDhhDi6QHA8vRMHlu1jtSiYsDeneIfQwYypku0BMVCCJUEx0IIcRHKKivn6h/mkldVRa/QYBZNHNegFvhCNp46zecHDgHw/tVX8cqW7fxj83YAhkRGMGv8aCK96zahHSsu4RZH8KvVaHhpyECeGdAHg07H7KPHuG/pSspMJoI93Hln5HDuSOyKRqNBURQ+3X+QJ1evp9JsUa+n08B/Rwzn0d4prQ5Md+Tmce+SFRwsLALsmeD3r75SLeNILy3jz2s2qPXNoZ4evDH8Cu7pliidJ4QQ55DgWAghLjJWm407F/1MZnk5XQP8+fnmG/F3d2v2+81WKw8tXwPAPcmJvL51B4sdPYmn9OrBf0YMw1hv9PK8YyeYvGQ5pbUmQj09+H7saEZ06oDZauXPq9fzn517ABgaFcH3Y0ernR3OVFXzwM8rWXBWtjjEw4OfbryeYR2iWvFTsP8cXt+2kxc3bcNisxHk4c7rw4Zwf49ktBoNJquV17fu5LVtO6ixWNFpNDzaO4UXhwxs0c9LCHF5keBYCCEuMm/v3MOGUzl4GwwsvXk8oV6eLXr/O7v2cqCgkEB3d1KLitmWm4e7Xscn14zk7m6J6nkWm43nN2zmjW27AHtG+Ydx9uD3VHkFty1cykbHgIyn+vXm1WGD1driJSfSuW/pSvKqqhrce0B4GLNvHNPq1mgnS0q5e8ly9f6Tusbx4TVXEeRhL6E4WFDIXYuXqRvyruoYxXsjr1Rb1AkhRFMkOBZCiIvIoYIi/rphCwD/HTGMmHqDOpojq6ycFzdtA8Dfzci23Dz83dxYest4BjrKEABKamqZOG8xq7PsHSee6NuLfw0fgkGnY2VGFncs/Jkz1dX4Go18ef3VTIiPBex1yU+v28i03fvOufcfUrrx3sgrW9UeTVEUvjl0hCkr11BuMuNjNPD+qKu4KzkBjUaDTVF4Z+cenlu/mVqrlSAPd6aNupLbEuKlrlgI0SwSHAshxEXCbLUyeclyaq1Wro/pzAPNGAl9tidWr6fSbMbLYOBEaRmB7u4sn3QjfcJC1XPyK6u47qd57MkvwNtg4LPrRnFrYjwAMw4dYfIS+6CRniHB/Dj+euIC/AHYk3+GOxf+zGHHhjedBqyOUXevDB3EXwf1b9XnL6mp5cHlq/jhiH0gydCoCKaPuZZoP18AMsvKuXfJCjWgHxPTmc9GjyLcq/Wt4YQQlw8JjoUQ4iLx+rad7MjLJ8DdjU+vG9niTOjiE+nqprRKs5lgD3dWTLqJnqF1/Yuzysq5etZcjhaXEOrpwbJbblSPv7drL4+tWgfAHYld+ey6UXgY7P+M/JCaxuSly6mxWAnx8KDcZKLG0a7t1aGDeW5Qv1Z99rTiEsbNWcCRohL0Wi0vDRnAMwP6otNqURSFGYePMGXFWspMJjz1ev47Yhh/SOkm2WIhRItJcCyEEBeB3Xln1G4S00Zd2aCTRHNUmc08vGKN+jzU04OVkyY0qME9WlTMNbPmkVleTkcfb1ZMuomugQEoisI/Nm9TyzGm9k7h7ZHD0Tq6Uby0aRsvbbYfu7pTB3bknVED438OHdTqwHhVZha3zF9CcU0tHX28+Wn8GPpHhAFQa7Hy6Mo1fLrf3nljUEQ408dco2azhRCipSQ4FkKIdq7WYi+nsNhs3Bwfyx2JXVt8jXd27iWzrBywB8ZrbptIUlCgenzfmQKumTWX/Kpqugb4s3zSTXTy9cGmKDy5ej3v7toLwItDBvDC4AFoNBqqzGbuW7pCLXN4rHcKs46kUVJbC8DLVwzkL60spfhoz36mrlqHxWZjYEQYc2+6QS2TyK2s5OZ5S9h0OgcN8NIVA3luYL9mD0ERQojGSHAshBDt3Eubt7K/oJAQDw8+vGZEi0sFai0WXt5izzr7GY2su/1mEgID1OObT+cw5qcFlNTW0is0mJ9vvpFQL0/MViv3/7ySbw7ZR0S/O3I4U/v0BOB0RQU3zlnEjrx8DFot74+6kn9t30VOVTUALwwewPODB7j8mS02G0+uXq9u7PtdUgKfXjcSd739n63tOXlMmLeIUxWV+LkZ+X7saEbHdHb5fkII4STBsRBCtGNbTueqrdQ+vnaEOu2tuRRFYeK8xVRb7AM4lt1yU4PAeGtOLtfMmkel2cwVUREsnDAOf3c3TFYrk+YvYf7xk+g0Gr66/hp+l5wAwM7cfMbPXcjpikqCPNyZPX4M7+/Zx7GSUgCe7t+Hl64Y6PJnLqmp5baFS1mWngnAq8MG8+yAvup/FHx98DB/XLaaWquVpMAA5k0YS7yUUQgh2ogEx0II0U4pisLUlWuxKQp3JSeo7dJa4r3d+9QBH2NiOjMgMkw9llZcwtjZC6g0m7m6c0fm3ngDXkYDNkXh/qX2Uc/ueh2zxl3P2NgYANZkZjN2zkIqzWaSgwJZMGEsqzKz1dKKsV2ieePKK1z+zAVV1Vzz41z25BfgZTDwzZhruMnxuS02G0+v3ch/HUNHxsXG8M2Ya/F1a93oaSGEqE+CYyGEaKcWn0hnR14+nno9b105tMXvX5aeyROO7hIArw0foj7Or6zi+p/mU1BdQ9+wUObcOEYdP/3M2o3MOHwEvVbL3Btv4DpHucKKjEzGz1lEtcXC1Z078uP468koLeOh5asBiPDyZO5NN7j8efMrq7h61lz2FxQS6unBz7fcSC9Hp4xai5XbFy5l7rETAPxtUH9evGKgjH8WQrQ5CY6FEKIdUhRF7Q7xaO+UFk/BO1pUzG0LluJoM8wVkRGkhAQDUGkyM3bOAo6XlBLj58uiiePwNtqzr//ZsZt/79gNwOfXjVID46UnM7hp7iJqrVbGxHTmpxvHUGk2c9XMOVgVBb1Gw/o7bkHn4ma4nIpKRv0wh8NFxUR4ebHq1ptIdGwYrDSZuWneIlZkZGHUaflmzLVMSoh36T5CCHEhEhwLIUQ7tKhe1vip/n1a9N7imhrGzVlISW0tRq0Wk83GI717APbShNsXLmV7bj6B7u4suXk8YY7A+7vDR/nzmg0A/Gv4Feoo6QXHT3LL/MWYrDZujIth5tjr0WrgmlnzKHZ0pvjomhHEtnBan1N2eQUjf5hDWnEJHXy8WXXrBLWGuKSmljGz57P5dC5eBgPzbrqBUZ07unQfIYRoDgmOhRCinTk7a9ySTXj24PdnjhaXEOTuTmFNDSEeHtwcH4eiKDy6ci0LT6TjrtexYMJYdXPe8vRMJi9ZDthHRT/VvzcAc9KOc+uCpWobue/GXodeq+WBn1eyO/8MAONjY3ggpZtLnzWjtIyRP8zhRGkZnX19WH3rBHUkdn5lFdf+OI+9Zwrwd3Njyc3jGRQZfoErCiFE60gzSCGEaGcWnUhnZ14+XgZDi7PGL2/exrL0TDz1euIcQeYDPZJx0+t4besOPt57AA3w7Q3XMSQqAoBdeflMnLcYs83GbQnxvHXVUDQaDT+kpjFp/hJ7wJ0Yz/fjRmPQ6Zi2ex9fHDgMQJinB9PHXOvS5zxZUsqVM2dzorSMLn6+rL1tohoYZ5WVM+z7n9h7poAwT0/W3j5RAmMhxK9CgmMhhGhHGmaNe7Qoa7wjN49/btkBwD+uGMjW3Dw0wIM9u/PT0WP8dcMWwN6v2Nn5IqusnOt/mk+F2czITh346vpr0Go0LD6Rzp2LfsaqKNydnMD0Mdei12rZkZvHk6vXA6ABfrpxjEvdIvIrq7jmx3lklJUTH+DP2ttvprOfLwDHiksY+t1PHC0uoZOPD+vvuFmtlxZCiF+alFUIIUQ7srBe1vjP/ZqfNa6xWJi8ZAVWReHWhDhOVVQCMKZLNIqi8MDPKwF4sm8vHnUM8jBbrdy2cCn5VdX0DAlmzo034KbXsTM3n1sXLMXqaCH3xeir0Wm1VJst/G7RMqyKfZvfXwf244qoyBZ/xiqzmXFzFqobAtfeNpEIb/vUu+zyCkb9MJfM8nISAv1ZfstNdPT1afE9hBDCVZI5FkKIdsKeNd4KtDxr/MLGrRwqLCLU04M3hw/ly4P2soc/pHTj9oU/U1prYnBkOG/Ua+f23PrNbD6di5+bkTmODHB6aRlj59T1Pv7sulFqB4q/btjM0eISALoFBfLCkJZPwLPabNy56Ge25eapGwKdgXFhdTXX/TiPzPJyugb4s/a2myUwFkL86iQ4FkKIdmLhiXR25Z1pcdZ406kc/r3dPkXvf9eOZGVmFsU1tUT7+rIu6xTbcvPwd3Pjuxuuw6DTATDv2AnecrRs+3L01cT4+1FcU8OYn+aTW1lFSkgQP40fg9Fx/urMbHX4BsB7o65Ur9VciqLw+Kp1zDt2EjedjvkTblA3BFaYTNwwewGHCouI8vZi2S03ql00hBDi1yTBsRBCtAOuZo0rTWYmL1mOAtyTnMj4uC58sGc/ACM6RvEfR0D7xehRak3vyZJS7l2yAoA/9e3FTfGx1Fqs3DR3EYeLiony9mLRxPFqLXFZrUk9H+DGuBhGdOrQ4s/47+27eX/PfjTAN2OuVUsyai1WJs5bzNYcezZ52S03qWsVQohfmwTHQgjRDtTPGj/Vgqzxc+s3cayklChvL94ZOZwduXnsyMvHqNUy77h9mtzU3inqCOZai5VbFyylpLaWQRHhvD58CDZF4d6ly1mXfRpfo5ElN4+ng4+3eo8nVq8js7wcAL1Gw5suTOv7PvUoT6/bCMBbVw3lloQ4wF5mcffiZSzPyMLLYGDxzeNIDg5s8fWFEKKtSHAshBDtwGtb7V0mpvZOIbiZWePVmdm8t3sfAJ9dNwp/dze+PXwUAH83N4pqaukdGtIgmP2/tRvYkWcfADLT0ZrtL+s38X1qGnqtltk3jqFHvc4Q846dUNu2AUzt01Md0NFc67JOqT2UH+/Tkyf72XsoK4rClJVrmXX0GAatljk3jmFghLRrE0L8tiQ4FkKI39jhwiI2n85Fp9HweN+ezXpPucnEfUvtpQ5/TOmmjnlefDIdgPzqarwNBmaOG42b3l4bPOtImhpMTx9zDZ18fZhx6AhvbLPXK3923cgG0+fyK6v4w8+r1OdBHu78bXD/Fn227PIKbnZM15sQ34W3rqoL1F/atE3tuzzjhmu5JrpTi64thBC/BAmOhRDiN+bMzN7QJZpwL69mvef5DVvIKCsn2teXfzsCzuMlpRwpKlHP+fjaEWqW90RJqdrO7dkBfRnTJZpDBUX8cZk9+P3boP7c0y1Jfa+iKDy0YjVnqqvRaTQAvDh4AAHu7s3+XGarldsWLKWguoZeocHMGHOd2vnip6PHeGmzvZ/zh9eMYFJCfLOvK4QQvyQJjoUQ4jdksdmYfigVgPu6J13gbLvUwiLed2SAP7l2BD5G+8a5ecdOqOfc1z2JO5MSAHug+4dlqyg3mRkaFcHLQwdRYTJxy/zFVFksXN25I38/qy3b/OMnmZN2Aq1Gg1VRSAwM4MGe3Vv02Z5bv5lNp3PwNRr5cfwYPAz21voHzhQy2bHB78m+vVp8XSGE+CVJcCyEEL+hpSczyK2sIsTDgxu6RDfrPU+v24RVURjbJbpBKcKHji4VPkYD/x0xTH39iwOHWZWZjYdez1fXX4NOo+Gh5Ws4XFRMpLcXM8Zcq2Z0wb5p789rNjie2Qd+vHXV0Ba1bqvfKu6L0aOIdYyFLqqu4ca5C6l0TOT715VXNPuaQgjxa5DgWAghfkPOkoq7khOaFXyuzMhiwfGT6DQa3qwXWO7Oy+dYSSkALw0ZiJ+bGwA5FZVqoPvyFQPp4u/H//YdZMbhI+g0Gr4fex2hZ/UTfnfXXo6XlOKu02FT4LroTlzvqGlujhMlpeoGvCf79mJiV3tnCovNxu0Ll3KitIxoX19mjh2NXiv/DAkh2hf5VhJCiN9IQVU1C46fBOD+7skXPN9qs6mB7sO9epAYZG95pigK9yy2B6Meeh2P96nb1Dd15VpKamvpGxbK4317sTvvDI+tWgfAq8MGM6xDVIN75FVW8fIWey1wjdWKTqPhrauGonHUHV9IjcXCpAVLKK01qa3inP6yfjPLM7Lw1OuZe9OYZnflEEKIX5MEx0II8RuZcfgIZpuNfmGhdA8JuuD5Xx9MZe+ZAvzcjPx9cF2N8JcHDnOgsAiAm7vGoXVkY+ekHeentOPotVo+u24klWYzkxYsodZqZVxsDE/1P7ef8vMbNlNuMhPgyDzfmdSVbsEXXpvTn1ZvYFfeGYI83Plh3Gh1wt63h4/wpmOK3xejr6ZnaEizrymEEL8m/W+9ACGEuBwpisLnBw4BzduIV2Ey8dcNWwB7Zwln1vVMVXW9+mC43dH1oaSmlikr1gLwdP8+pIQEc/P8xRwvKaWzrw9fjr4a7VnZ4N15Z/hsv31NJbW1jvf2bfZn+u7wUT7ca697/mbMtXT09QFgV15+g04ZtyZKZwohRPslmWMhhPgN7M4/w74zhbjpdNyR1PWC57+5fRc5lZV08fPl0d51ZRN/XrOeYkcg66bTqWOdn163kZzKSroG+PO3wf35ZN9B5qSdwKDVMmvc9QR6NGzJpigKj69ehwLE+fuhYG8t15yMNkBmWTkPLre3hfvroH6MdtQol9WauGX+EmosVq6P6cwrQwc163pCCPFbkeBYCCF+A86NeDfFdblg7+Ds8gre3G7v/PCvK69Qh3qszMhi+qEj6nkjOkbhaTCwJjOb/+07CMD/rh1JXmUVTzmyy28MH0L/iLBz7vHj0WOszz6Nh15HZpl9VPTTjZRdNKZ+q7jBkeG8NGSgeuyxVWs5WVpGZ18fZtzQsCuGEEK0R/ItJYQQv7Jai1Ud89yckoq/rt9MtcXC0KgIJsbHAvaNbw8tXw1AlLd9cMgNXaKpNlv4g2Owx4M9uzOsQyS/X7aKCrO9x/HjfXudc/1qs4X/W7sRgH5hoZhsNgZFhDOsQ2SzPs/nBw6xLD0Td72OL0ZfrQbAM1OP8tXBVLQaDd+MubZFA0SEEOK3IsGxEEL8yuYfP0FRTQ0dfLy5ut645sbsyM3ja8eQkP9cNUztGvGvbbs4VlJKuJcneVXVAIzpEs0b23ZyrKSUSG8v3hg+hE/3H2RFRhbueh2fN1JnDPDWjt1klJUT5e3FvjOFADw9oE+zOlRklZXzp9X2rPQrVwwiITAAsJdZPLR8DQB/GdiPoc0MtIUQ4rcmwbEQQvzKnCUVk7slXrDM4C/rNwP2PsjOcoi8yir+5ej8cHtCPBabjYRAf9z1OrUjxNsjhlFaa1I36706dLA6Srq+nIpKXtu6A4ARHTtQajLRNcCf8bExF/wcznKKMpO9bdsTjqy01WbjnsXLKamtZUB4GC8M7n/BawkhRHsh3SqEEOJXdKq8gp/TMwG4t9v5Syq25+SxPCMLnUbDP+rV8b6yZTuVZjMDwsMoqTUBMCYmmhc2bqXKYmFwZDg3x8dy/ewFlJvMDImM4LF6vY/r+9f2XVRZLAyMCGN1VjYA/9e/T7Nqg784cJif0zNx0+n4YvQo9T1vbt/F2uxTeBkMzLjh2hZN1hNCiN+aZI6FEOJX9PWhVGyKwrAOkcQ1ksmt77Vt9ozunUldiXGMXz5eUspHew8A9iEeS9MzAEgKClAz0m9dNZQvDh5W64A/rxe41pdfWcXHjmsNi4rkVEUl4V6e3JWccMHPkV1ewZOr1wPw8hWD1IEkO3Pz+dvGrQC8N3L4BT+jEEK0N5I5FkKIX9HXB+31w/ddIGt8qKCIOWknAHh2QD/19ec3bMZiszE6uhMB7m7kVlbhbTDw45Fj2BSFW7rG0cHbm9E/zgca1gGf7a0du6m2WBgQHsbiE+kAPNGnF+768//ToCgKf3SUUwyMCONP/XoBUGkyc+ein7HYbNzSNY57m7HZUAgh2hvJHAshxK/kaFExqUXFGLRabu4ad95z39i2E4AJ8V1IDrZnZXfl5fN9ahoa4PXhQ1jkCGhTQoJYlpGFQavl1aGD1MC1fh3w2Qqqqnl/j31gx+joThwqKsbHaODBnt0v+Dm+PHCYJSczHOUUdd0p/rx2A0eLS4jy9uLja0Y0e+S0EEK0J+02c7xv3z7ee+899uzZg9lsJi4ujsmTJzNu3LhmX6OsrIwvvviCFStWkJ2djdFopEOHDkyYMIFJkybh5hiPKoQQv4aFjmD2qo5R+LoZmzwvvbSMGYft/Yufq5c1fnbdJgDuTEqgZ2iI2g0iw9GXeErvFDbn5LK0kTrgs729aw+VZjO9Q0NY5ag1fqhnD/zdz/+9mF9ZxZNr7OUU/7hiIEmOcorVmdlqicbXY645Z8iIEEJcLNpl5njr1q3ceeed7Nixg+uuu4477riD4uJinnrqKT766KNmXaOsrIyJEyfywQcf4OPjw+23387YsWMpKyvj5Zdf5o9//CM2m+0X/iRCCFFnwfGTAIy9QCeIN7fvwqooXN25o9qhYnl6Jssd2eGXrxhIQVU1W3NyAThVUYm/mxuP9U7h6bX2APrFIQPUOuCzldTU8t6ufQDcnhjPhlM5GLRaHm9i0159f9mwmdJaE71DQ/hTv96Avefyg46eyw/37MHITudvTyeEEO1Zu8scWywWnn/+eTQaDTNmzCA5ORmAKVOmcPvtt/Pee+8xevRooqOjz3udmTNnkpWVxb333stzzz2nvm4ymbjzzjvZsmULO3fupH9/aTEkhPjlldTUsj77NABju0Q3eV5uZSWf7T8E2PsDA9gUhWfX24PeR3r1IMbfjxmHjqAAeq0Wi83G84P68f6e/eRVVdE1wF8NXBvz7q69lJlMdA8OIq24BIBbE+KJ8vE+72fYnpPH5461TRt1JXpHVvrVLTtIKy4hwsuL14YPvuDPQggh2rN2lznesmULmZmZjB07Vg2MAby9vXnkkUewWCzMnj37gtfJysoC4Morr2zwutFo5IorrgCgsLCwDVcuhBBNW5qegVVRSA4KpIuj80Rj3t65h1qrlUER4VzVMQqAWUfS2JV3Bh+jgb8Osv8H/YoM+3ecxWYj2teXqzt35J1dewF4Z+RwjE20TyurNfH2rj0APNWvNzOPpAHw+x7JjZ7vZFMUpq5aiwLcnZzAkKgIAA4WFPK6oz76vVHD8ZNyNSHERa7dBcfbtm0DYOjQoecccwa1znPOJz4+HoD169c3eN1sNrNp0ybc3d3p3bvpzIoQQrSlhcfTgfNnjYtravjAsUnuL4P6odFoMFmt/HXDFsDefzjE0wOAjadOq+97bdggnl63CYvNxrjYGEbHdG7yHh/s2UdxTS0Jgf5YFYVyk5lYfz+udATiTZl+MJWtOXl4Gwy8PnwIYA+Y/7hsNWabjfGxMepoayGEuJi1u7KK9PR0ADp3PvfL3c/Pj4CAADIyMi54nUmTJjFv3jw+//xzDhw4QPfu3TGbzaxfv57S0lLeeustwsLCmny/yWTCZDKpz6urq1v+YYQQAnt2d/HJdADGnafe+P3d+yk3mekRHMQNjiD6f/sOcryklDBPT550dJ4oqaklraQUgN6hIbjr9SxLz8So0/LfEcOavH6lycxbO3YD8NeB/flkn30D3f3dk87bWaKs1sQzjs2Afxvcn0hve/nFJ3sPsOl0Dt4GA9NGXSndKYQQl4R2FxxXVFQA4OPj0+hxb29vcnNzL3gdd3d3pk+fzgsvvMD8+fPVbLNWq+V3v/sdffr0Oe/7P/74Y6ZNm6Y+12q1dO9+4RZHQghxts2ncyiuqSXQ3Z1BkeGNnlNpMvOOo9zh2YF90Tqyxs6Shb8N7o+30d7hwjn4A+CfQwcxZeVaAJ7q14fY85RsfLR3PwXVNcT6+9EnLIQNp3LQajRMvkDP5X9s3qbWMjtbw52uqFAD5leHDaajb+Pf2UIIcbFp0+A4KyuLzZs34+bmxjXXXIOnp2dbXr5FioqKeOSRRygqKuKTTz6hT58+1NbWsmrVKl5//XXWrFnDTz/9hJ9f4/+QPPjgg9x3333q8+rqah555JFfa/lCiEvIAkdJxZgundVNbGf7dP9BCqpr6OLny60J9rKwbw8fJbu8gggvL37fo5t67nuO2uJgD3d25OVzsrSMKG8vnhvYt8k1VJstvLndnjX+y8B+6jCS62M6n3cjXmphkVrL/PaIYWot8+Or1lNmMjEgPIxHevVozo9BCCEuCi4Fx5988gk//vgjs2bNUoPLrVu38tBDD1FTUwPAhx9+yMyZM5sMPpvi7fh1XXl5eaPHKyoqmswq1/f666+ze/du5s2bR2JiImDPRt96661YrVZefPFFvvrqKx577LFG3280GjEa6/qQapv4B00IIS5kobOFWxP1xlabjf/u3APA0wP6otdqsSmKOgjkyb69cNPbg1J7C7c8wD6847Wt9nP+fdVQNbPcmK8PpZJXVUVnXx9uT4ijy6fTAXjgPBvxFEXh8dXrsdhsjO0SzfWO9S84fpIfjx5Dp9HwybUjmuylLIQQFyOXvtFWrVpFWFhYg8D3X//6FzabjalTp3LHHXeQnp7O119/3eJrO1u0NVZXXFpaSnFxcaP1yGdbu3Yt/v7+amBc36BBgwA4ePBgi9cnhBAtcbyklMNFxei1Wq6Lbvy7a+nJDDLKyglwd+OeZPt31vxjJ0gtKsbPzdhgat3bO/dgVRQAciurqLZYGN4hktsc2ebGKIqiZpuf6NuL5ZnZ5FVVEerpcd4NgguOnzynlrnSZGbKijUAPNW/Nz1DQ5r9sxBCiIuBS8FxVlYWcXF1o09zcnI4ePAgd955J4888ggvvPACgwcPZtmyZS2+trPv8IYNG845tnHjRgAGDBhwweuYTCYqKioabKpzKioqAmiQGRZCiF+CM2s8LCqyyelzHzomy93bLQkPgx5FUdSM8JReKeo0vZKaWrXEQa/RsCIzG61Gw7sjh593M9zarFMcLCzCy2Dgvu5Jah/lyd2SMDTR8q3WYuXJ1fZuP3/u15u4AH8A/r1jF1nlFUT7+vLC4At/FwshxMXGpeC4rKwMX19f9fnOnTvRaDSMHDlSfS05OZnTp0839vbzGjx4MB07dmThwoUcPnxYfb2iooIPPvgAvV7PhAkT1NeLioo4fvy4GvA69enTB4vFwgcffNDgdZPJpL42cODAFq9PCCFawjkVb1xsdKPH00vLWOwYK/2QI0O8NusU23LzcNfreKze1Lppu/dRYTYDqGUWD6Z0v2D29r3d9ml49yQnUmk2q/e7v3vTG/E+3neAE6VlRHp7qcNIsssr+Ne2XQD868oheBoM572vEEJcjFyqOQ4ODubUqVPq840bN2I0GunZs+5LvLa21qW2Pnq9nldeeYXf//733HnnnYwdOxZvb2+WLVtGdnY2TzzxBDExda2QZsyYwbRp03j00UeZOnWq+vpTTz3F7t27+fDDD9m4caO6IW/Dhg1kZWXRrVs3Jk2a5MrHF0KIZimrNbHWORWviRZun+w7gAKM6tSBroEBAGqHivu7JxPmZd/YXGEyqXXJAJVmC14GAy8OOX/2NrOsnLnHTgAwpXcPvjqYilVRuCIqosnx0hUmE69s3g7A3wcPUGuZ/7J+E1UWC0OjIrila1yj7xVCiIudS8Fxjx49WLlyJWvWrMHNzY2lS5cyYMCABmUK2dnZhIaGurSoQYMG8e233/Luu++yZMkSzGYzcXFxPP7444wfP75Z10hKSmL27Nl8/PHHbNmyhRkzZqDT6ejUqRNTp07lgQcewE0mOQkhfkE/p2dgsdnoGuBPvKMsoT6T1aqWODzs6PiwKy+fn9Mz0Wk0PFVvBPRHew9QVFODm05HrdUK2DfqhXqdvyvQR3v3Y1MURnTsQHJQIDfNXQTAA92b3oj3zq69nKmuJs7fj/sc2eXtOXlMP3QEgP+OGCY9jYUQlyyXguMHH3yQNWvW8PDDDwOg0Wh48MEH1eMVFRVs3bqV0aNHu7ywlJQUPv300wueN3Xq1AYZ4/qio6N57bXXXF6DEEK0hnMqXlODP2anHSe/qpoILy/GO85xdqi4LTGeGEfP4mqzhX872rCZHIGxr5uRp/qff8pnjcXC//bZNx5P7ZPCuuzTHCspxdtgYFJC45nfouoa3txuL534xxWDMOh0KIrCk2vs9ceTuyXSL7zpAUpCCHGxcyk47tatGz/88APz5s0D4LrrrqNXr17q8dTUVIYMGcLYsWPbZJFCCHGxsdabitdUR4gPHaOi/5CSjEGnI624hB+PHgfgmQF1PYs/23+QvKoqwjw9yKuyT+v8y4C++F3gt18zU9MoqK6ho48342JjuH/pCgBuT4xvsu3bv7bvpLTWREpIELcl2jtgzDpyjI2ncvDU63l12ODm/QCEEOIi5fIQkMTExEbbpAH069ePfv36ubwoIYS42G3NyaOgugZ/NzeuiIo45/jBgkLWZZ9Gp9HwhxT7Rrx/b9+FTVEYE9OZlJBgwJ4pfsORyY3w8iKvqho3nY6p9TbqNUZRFHUj3iO9elBpNquB9wP1BorUl1NRybu77O/559DBaDUaaiwWnl5n7xT07MC+6uhoIYS4VEnndiGE+AUsPGHvUjE6plOj7dI+crRvGxcbQwcfb3IqKvnyoL1Dz7P1Jt19fTCV7PIKwr08OVxUrF7zQp0itubksTMvHzedjgd6dGPWkWNUWywkBwUyMKLxsohXtmyn2mJhcGQ4Nziy3f/duYeMsnI6+Hjz537nL+MQQohLgcuZY5PJxIoVK9i/fz/l5eVYHXVw9Wk0Gl599dVWLVAIIS5GC85Tb1xhMqnjm50b8d7euQeT1cYVUREM6xAFgE1ReGuHvda4b2gIi07ahyM90ivlgvef5sga354YT4inB7OOHgPgruSERjfTnSgp5RNHffJrw4ag0WjIrazk1S07AHhjuLRuE0JcHlwKjk+dOsX9999PZmYmimNSU2MkOBZCXI5yKio5UFCIBhjdyFS871KPUmYyEevvx9WdO1JlNquB6dP9+6jnLU/PJLWoGG+DnvWn7C3hNMDgyPDz3j+3spIfjqQBMLV3TwqqqlmZkQXApCZasL24aSsWm41roztxZUd7cP78hi1UmM0MjAjjjsSuLfoZCCHExcql4Pi1114jIyODG2+8kZtvvpnw8HB0TUxZEkKIy83abHsf+F6hIQR6uDc4pigKH+6xl1Q81LM7Wo2G71KPUlJbS4yfb4N+yO86puElBQayPS8fgB7BQfhcYLrn//YdxGyzMSginL7hoXy67yBWRaFXaLA66a6+A2cK+cbRpu3VoYPV1z53tJl7e8T5J/AJIcSlxKXgeMuWLQwePJg33nijrdcjhBAXvbVZ9uDYmYGtb1tuHrvzz+Cm03Ff9yQUReH93fauFQ/37IHWEYSmFZew2FFGcaCwUH3/wAtkjc1Wq1rP/Ghve/mFs6Ti1oT4Rt/zt41bUICb42PpGx7a4LVJXeMYdIF7CiHEpcSlDXk2m42kpKbHjgohxOVMDY47RJ5zzNm+7daEOII8PNiSk8vu/DO463Xc36Pue/U9R9Y42teHaosVH6O93ndQxPkD1bnHTnC6opIwT08mJcRRWH3+kooduXnMPXYCrUbDy0MHnfPaS1cMbOnHF0KIi5pLwXHv3r05ceJEW69FCCEuevmVVWpXiWFnBcflJhM/HLFncR/qad+I58wa357QlSAPD8A+dvqLA/bOFacrKgEwW20ATXaacHJO3HugRzJGnY45aSfOW1Lx6lb7hrvfJXUlyTFO+vkNWwC4KylBfU0IIS4XLgXHf/7zn9m6dStLly5t6/UIIcRFbV22feNcj+AgNdh1mn30ONUWC10D/BkcGU5+ZRWzjto3zk3p3UM974sDh6gwmwlyd8dks9E9OJAaqxVfo/G8weqp8gqWO7LEzrHPzpKKxrLGhwqKmJN2Ag3w3EB7b/r12af4OT0TvVbL34cMcPGnIIQQF69m1RxPmzbtnNcGDhzIk08+ybfffktycjLejTSG12g0TJkypfWrFEKIi4RzM15j9cbTD9nbt92dnIhGo+GzA4cwWW30Dw9VRzLb6g3vqDSbARjeIYoDBUX0Dw9Va5IbM/1QKjZFYWhUBHEB/g1LKhqpN359mz1rPCE+lqSgQBRFUbPGD/RIpotjfLUQQlxOXA6OnbZt28a2bdsaPSbBsRDiclNXb9wwOM4ur2BVZjZgL2Gw2mx85OhaMaVe3+IlJ9I5XlKKm05HjdVK9+AgqswWgPNujFMURR0icl/3ZMBef+wsqYg/q6TiZEkp3x4+CsBzjqEjKzKyWJd9GjedjucH9Xfp8wshxMWuWcHx119//UuvQwghLnqF1dXsL7B3lhh+Vr3xd4ePogBDoyKI8fdj/rETZJaXE+juzm2JdVnddxwb8ZwZ4ucG9uWfjkEc59uMtzUnjyNFJXjq9UxKsJdQzDrSdEnFm9t3Y1UUro3uRL/wMBRF4a8bNgP2wSQdfGRMtBDi8tSs4HjAAKk7E0KIC1nvqDdOCgwg1MuzwbH6JRUA7zu6VjzQIxl3vf2r+FBBEcszstAA1RYLXfx8ubZzJ363aBkAA88THDuzxjd3jcXHaKSwupoVTZRU5FRU8vkB+8a9vzhqjRccP8n23Hw89XqeHdAXIYS4XLm0IW/atGls3779vOfs3LnzvOUYQghxqVnrCI7Prjfed6aA/QWFGHVaJiXEcbSomGXpmWiAh3t2V89zjnx2cwxVemZAX3bnnwGgi58vIZ4NN/g5VZstfJ9qL5G417ER73wlFf/duYdaq5UhkREM7xCJTVH420Z7rfHjfXsSdlZgL4QQlxOXg+OtW7ee95ydO3fy/vvvu7QoIYS4GDU1/GP6QXvWeGyXGALc3dUhHWO6RBPj2PRWXFPDV47sb43VSoSXF5O7JbE1Jw84f9Z43vETlNaa6OTjw1UdOwBNl1QUVdeovZb/MrAvGo2GWUfS2HemEF+jkaf69UEIIS5nLgXHzWE2m9Fqf7HLCyFEu1JSU8seR5a3/mY8q83Gt46s7l3JCVSZzWoP40d61bVv+3z/IaosFoyO782n+vfGTa9je64zOG66v/GXjutN7paIVqOxd6lwbP47u6Ri2u59VJjNpIQEMaZLNBabjRc2blXvefa4ayGEuNy4HL1qztNOyGQysXPnToKCgly9vBBCXFQ2nDqNAsQH+BPh7aW+vjorm9MVlQS4uzEmJppvDx+lpLaWLn6+jI7pDNjbt33oyCabbDYC3d35Y0o3APadsW/w6xUa0uh96/c2nlyvpMJis9EzpGFJRYXJpG74+8vAfmg0GmampnG0uIQgD3ce79OrzX4eQghxsWrWhjyAUaNGNXj+1VdfMXv27HPOs9lsFBcXU1tby6RJk1q/QiGEuAg0NTJ6+sEjANyWEI+bXscHjpKGh3v1UDtSrM06xfGSUrQaDTZF4fE+PfE2GimrNZFeVgbYh4o0xtnbeFiHSGIdJRrOkopbExqWVHyy7yBFNTXE+ftxS9c4bIqiTsj7U99e+LoZW/1zEEKIi12zg2NFUdTHGo0GRVEavKZeUK8nLi6OQYMG8cgjj7TNKoUQop1rbPhHpcnMT2nHAXtJxZ78M+zOP4NRp1Un2AH8b99BwJ5B9jYYeLS3ve/xAUdbuChvr0bLHer3Nr63m/16RdU1jZZU1Fqs/Hv7bgCeHdgXnVbL3LTjHCoswtdoZErvFIQQQrQgOF61apX6ODExkcmTJ/Poo4/+IosSQoiLSbnJxK68c+uN5x0/QaXZTIyfL0MiI3hy9XoAxsd2UUdLF1ZX81PaMfU9D/fqoQbCzp7JTWWNG+ttPK+JkopvDqeSU1lJBx9v7k5ORKmXNX60dwp+bm5t8aMQQoiLXrOD4/pWrlyJr69vW69FCCEuShtP5WBVFGL8fOno66O+7uxScVdSAmabjRmH7SUW9bPGMw4fxWS1AWDQanmib0/12P4zBQD0CAlu9L5n9zYGmH/8JAAT42PV8xRF4b879gDweJ+eGHU6VmRksj03Hw+9nsf79EQIIYSdS8FxVFTUhU8SQojLRGMjo/Mqq1jm2Ch3d7dEFh4/SUF1DRFeXlwb3QmwB63OkgqA2xPjifSum0x3vsxxY72Nay1WdXPeuNgY9dyVmVkcLCzCy2Dg9z3sG/1e3bITgD+kdDtnYIkQQlzOXAqOnXbv3s2mTZvIz8/HZDKdc1yj0fDqq6+25hZCCNHuNVZv/F3qUWyKwsCIMOID/Pnzmg0A3NMtAb2jXdv23Dy1rhjgib691MeKotQFxyHnBseN9TZem32KSrOZSG8veoXWZZvf3mnvUHF/9yT83d3YfDqH1VnZ6LVanurXuy1+BEIIcclwKTi2WCz86U9/Yvny5SiKom7Qc3I+l+BYCHGpqzSZ2Z6bDzTsVOEcF31XUgK5lZUsPpEO1G2cA/h0/yH18fAOkfQJC1Wfn66opLimFp1GQ1Jg4Dn3nXHIXqJxj6O3McBCR0nFDV2i1XabR4qKWXQiHQ0w1VE+8dpWe9b4nuTEBmUgQgghXOxz/Pnnn7Ns2TImTpzITz/9hKIoTJ48mZkzZ/LUU0/h6+vL6NGjWb58eVuvVwgh2pXNOTlYbDY6+ngT7Wffi5FWXMKuvDPoNBpuS+zKN4eOYFUUBkWEkxhkD3QrTCa+dQS40DBrDHUlFV0D/HHT6xocK66p4ef0TADuSOwK2DPNCx0B+Ngu0eq57zr6Go+NjSE+wJ99ZwpYcPwkGuCZATINTwghzuZS5njBggXEx8fzz3/+U33Nx8eHnj170rNnT6688komTZrEoEGDuP3229tssUII0d6szToN2EsqnNnan47au0+M7NSBYA93dYJd/Y14Pxw5RqXFAkCMny/j69UIA+w/03RJxdy0E5htNroHB5EcbA+2U4uKOVlahptOx6hOHQF7EO2895OO4Pt1R9Z4UkIcXQMDWvnphRDi0uNS5jgzM5OBAweqzzUaDRbHlzxAfHw8I0aM4Lvvvmv9CoUQoh1T643rbcb78ai9t/EtXePYkZvPwcIi3PU6bkus6zv8v30H1MeP9emJTtvw63h/gaNTRfC5nSq+P5IG2DfwOS08ng7AiI5ReBkNAHy6zz6SOiUkiKs6RnGsuISZjvf+ZWA/1z6wEEJc4lwKjg0GA+7udQ3pPT09KSoqanBOZGQkGRkZrVudEEK0Y9VmC1tzcoG6zXgnS0rZmZePVqPhprgufOHI3E6Mj1V7CR8sKGRLTh4A3gYD93dPPufa+5rIHJ+pqmaloyPFbfWGfCxylFTc4CipsNhsvLfbXlLxZN/eaDQa3ti2E5uicEOXaHo2MY5aCCEudy4FxxEREeTk5KjPu3Tpwvbt2xtsytu7dy9+fn6tX6EQQrRTu/LzMVlthHl6EucY3TzbMRFveIdIfN2MfOdot1a/pOKzehvxHuiRfM7YZrPVymFHwuHsNm6z045jVRT6hIUQ5xjyUVxTw4ZT9vIOZ3A8++hxssorCPX04PbEeLLLK/jK0XdZssZCCNE0l4Lj/v37s2PHDjUYHjNmDCdPnuTBBx9kxowZ/OlPf2Lnzp0MGzasTRcrhBDtyVZH9ndQZJhab1y/pGLesROU1NbS0cebEY52a7UWK58fsAfHGuwlFWdLKy7FZLXhbTCom/ycZqbayyLqZ41/Ts/Eqih0CwokxhGkv71rDwAP9+yBu17Pu7v2YrbZGN4hkiFREW30ExBCiEuPSxvybr75ZqxWK7m5uURERHDXXXexdetW1qxZw7p16wBISUnhz3/+c5suVggh2hNnScXAiHAAssrK2ZKTiwaYEN+F+5euBGBytyS1pnjeMXt/YoDxsTF08T/3N2zOeuPuwUFqmzaA3MpKtcb51vOUVGzNyWXz6VyMOi0P9+pBucnEJ44a5//rLx0qhBDifFwKjrt168ZLL72kPjcYDHz00Ufs37+frKwsIiMjSUlJQat1KTEthBAXBWfmeGBEGFBXUnFFVASKgjqt7t56JRUf7NmnPv5TEwM4mhr+8eORY+pgEWdG2WqzsfiEfX/H2NhoAN7euQeAOxMTCPPy5J2deyitNZEQ6M+Yem3ehBBCnKtVE/LO1qNHD3r06NGWlxRCiHYpr7KKjLJyNEC/MHtw/KOjhdstXeP4+lAqNkVhWIdIYh3Z4ezyCtZm22uDuwUFMqze0JD61DZuZ9UbOztN1C+p2JKTS1FNDQHubgyOjCC7vIJZR+zreKJvTyw2mzoh78m+vRtkooUQQpyrVcGxyWRi8+bNnDhxgqqqKqZMmQJAbW0tFRUVBAQESPZYCHFJcpZUJAcF4utmJKeiko2n7BuVJ8R14Zof5wFwX72JeM6peQBPD+ij1imfTc0c1wuOs8sr2OC4/qRGSipGR3dGr9Xy4Z79WBWFqzpG0TM0hB+PHCO9rIwgD3fuTk5o7ccWQohLnsuR68qVKxkxYgQPPfQQb7zxBtOmTVOPHTlyhKFDh7Jo0aI2WaQQQrQ3dSUV9nrjOWnHUYBBEeHkVVVztLgET72eWxLiAPsEu4/27AfAx2DgtoSujV633GTiZGkZ0LCsYpYjazw0KoIOPt7q687+xmNjozFZrXy6/yAAU3unAPCfnbsBeKRnDzwNhlZ/biGEuNS5FBzv3LmTxx9/HKPRyF//+lfGjh3b4HhKSgqdOnVi2bJlbbJIIYRob+o24zlLKpxdKmLV9m3j42LwMdrbtO09U0BmeQUAD/Tods5IaKeDBfYWbhFeXgR5eKivN1ZSkVlWzv6CQrQaDaOjOzM77Tj5VdVEensxPq4Lm0/nqBvzHuktJW9CCNEcLpVVfPjhh/j4+PDTTz8RGBhISUnJOed0796dffv2nftmIYS4yNkUhe25+YA9OM6vrFK7SNwU14Vh388G4M6kujKG93btVR8/3vfc9m1O6mS8elnjkyWlbM3JQ6vRqJloqCupGBIZTqCHOx86MtN/TOmGXqvlPzv2AHBXUiLhXl6uflwhhLisuJQ53rt3L6NGjSIwMLDJc8LDwylwfMkLIcSlJLWwmDKTCU+9nm7BQcw9dgKbotA3LJSM8nJyKisJcHfjuuhOgL2jhLM/cb+w0HN6F9e3r5HNeD84Nthd2SGqQZC78PhJAMZ2ieFgQSHrsk+j02j4fY9unCwpVbtnPNm3V9t9eCGEuMS5FBybTCZ8fHzOe055eXmTm02EEOJi5iyp6Bceil6r5ae0eiUVh486Hsdh1NlLJxafzKDSYgHgr4POP52usU4VaklFYl1JRZXZzKqsbMDe39iZNb4xrgtRPt68s2svNkXhuuhOdD+rJZwQQoimuRQcd+zYkQMHDpz3nD179tClSxeXFiWEEO3Z1ty6zXiF1dWsdPQzHtclRq09vjOxbsPda1t3APaNeONiY5q8rqIo5/Q4TisuYXf+GXQaDTfHx6rnrsrMpsZipbOvD519vfna0Qnj4V7dKampVUdUN9VLWQghRONcCo6vvfZaduzYwdy5cxs9/tlnn5GWlsaYMWNaszYhhGiXnJnjAeFhzD92Equi0DMkmGOlpZTU1hLl7aX2MK4wmdh62n7+75IT1El5jcmprKSopgatRkNykL1szVmOMapzR4I96zboOQd/3NAlmu9S0yg3mYkP8Gdkp478b99BKsxmugcHcU3njm3/AxBCiEuYSxvyHnjgAZYtW8Zzzz3H/Pnzqa2tBeBf//oXe/bsYffu3SQlJXHXXXe16WKFEOK3VmU2q6UPAyPCeGj5asBeRuEsqbgtIV4Ngv+7cw82x3tfHDLgvNd2XrdrgD/uevvXs3OwyK31NuIBLMvIBGB0dCde2LQVgId6dsdqs/Hubvvmvz/17SXlbUII0UIuZY69vLyYMWMGY8aMYevWrezcuRNFUfj888/ZvXs3119/PV988QVGRwsjIYS4VOzMy8eqKER4eeFjNKgjoq+P6cR8xwa5+l0qPt5rL0HrHhxI2AU6Rpw9/ONkSSl7zxSg1Wi4MbauTO14SSnHS0rRa7V4GPTsyS/AXa/j3m5J/Hj0ONnlFYR5ejZYhxBCiOZxeUKen58fb731Fs8//zz79++ntLQUb29vevToQXBwcFuuUQgh2o264R9hLE3PxGyzkRgYwOGiYqotFroG+NMnLASA1MIiTlVUAvDXgf0veG11M56j3njOsRMADO8Q2aCkYnm6PWs8JDKcrw/aa41vT+hKoIc77zpaxj3Sq0eTvZSFEEI0rVXjowECAgIYPnx4W6xFCCHavfrB8fxj9kzxjXExaknFHYld1VKGZ9dvAsBDr2/QaaIpZ2eO5zi6YEyotxEPULPVV0RG8J+dewD7RrwduXlsycnFoNXyYM/uLn9GIYS4nLk8PloIIS5Hzs14fcNCWXwyHYDhUVEscwSsdyTZu1QoisLSk/YM7/jYmAvW/lpsNg4V2qfj9QgJJq+yio2ncgD7YJH6563MtN+rwmym1mqlT1gI/cPDmLbbPnjp1oR4wrw82+LjCiHEZadZmeN77rnHpYtrNBq++uorl94rhBDtTU5FJVnlFWiAWquF0loToZ4epJeVYbHZ6BsWSkJgAABf7D9MrdUKwOvDB1/w2mnFJdRarXgZDMT4+fLZ/oMo2IPwTr51feV35OZTWmvC383IYseEvId79qCguobvHZ0tpvZJadPPLYQQl5NmBcfbtm1r9HWNRoOiKE2+LrukhRCXEmfWuFtwECsy7AM4xnaJ4XvHkI476pVO/Gv7TgCifX2I9vO74LWd9cbdggLRajTMSbPXG0+Mb9gvfpmj3rh7cBAbTuXg52bkjsSuvLt7L7VWK/3CQhkQHtaajymEEJe1ZgXHqampDZ6bTCYee+wxMjIyePjhh+nXrx/BwcEUFBSwfft2PvroIzp37sy77777iyxaCCF+C8564wHhYWpnisGR4Xx+4BAa4DbH4I+cikqOFJcA8Gjv5mVx6w//KK2tZYWjTOPsemNnC7dKsxmAe5ITcdPr1Al5U/ukSGJCCCFawaWa43fffZejR4/y448/Mn78eCIjIzEajURGRnLjjTcya9Ysjh49KsGxEOKS4gyOO/h4cbK0DHe9jrzKKgCu7BhFBx9vAF5y9B3WaTRMaXZwXADYN+MtPpGB2WYjIdCfJMcwEICyWhNbHANFnJnmP6Z0Z96xE2SVVxDi4cGtCRfe+CeEEKJpLgXHCxcu5LrrrsOriZ6d3t7eXHvttSxatMjlhe3bt48//OEP9O/fn169enHLLbewYMGCFl+noqKCd999l7Fjx9KzZ0/69evHhAkTmDZtmstrE0Jcfqw2G9sdY6OLamoAuLpTR35Msw/puCOxbiOes/Z3UES4OszjQg4W2DfjdQ8OqutSEdcwa7w6KxurohDk4Y5FURgUEU73kCB1I94fUro1+35CCCEa59K3aFFREWbHr/SaYrFYKCwsdGlRW7du5YEHHsBgMHDDDTfg4+PDsmXLeOqppzh16hQPPfRQs65z+vRpJk+eTFZWFkOGDOHKK6/EZDKRmZnJzz//zKOPPurS+oQQl5/DhcVUmM14GQxsPW0PkvuHh7FwUzp6rZabu9oD2VWZ2ZSaTAA81b93s65da7FyorQMgC7+viw5aR8NPSG+C4rNhvVIKkpJMWnHM9AqChabfebe71OS2X+mgDVZp9BpNDzcq0ebfmYhhLgcuRQcd+rUiaVLlzJlyhQCAgLOOV5UVMTSpUvp3Llzi69tsVh4/vnn0Wg0zJgxg+TkZACmTJnC7bffznvvvcfo0aOJjo4+73WsViuPPfYY+fn5fPnllwwaNOic+wghRHNtzbWXM6QEB7HZsTGvwmwPgq/t3JEgD/uQjle37gDATafjhi7Rzbr2sZISbIqCr9HIgTOFVJjNRHl70Ssrg4rXX0YpsmeV/wjcYDDyTGQMq0PCuS0hnqfWbgTstcnOsg4hhBCuc6msYvLkyRQUFDBx4kS++uorDhw4QE5ODgcOHODLL79k4sSJFBYWMnny5BZfe8uWLWRmZjJ27Fg1MAZ7qcYjjzyCxWJh9uzZF7zOzz//zP79+7n//vvPCYwB9PKrRyFECzjrjX3djIBjQp6jj/EkR51vcU0Na7NOAXBDl84YdM2bUHe4sBiAxMAA5joGi/zVADXvva0Gxk4RZhNfZxzhn14GzDYb0x0T8pq78U8IIcT5uRQhTpo0ifz8fD788ENef/31BscURUGn0/Hoo49yyy23tPjazrZxQ4cOPefYFVdc0eCc81m8eDEAo0ePJicnhzVr1lBeXk7Hjh0ZPnx4k/XSQgjRmG2O4LiguhqAwZERvL1zDwatlhvjYgD48sBhrI72llN792z2tVOL7MFxQmAA84+fQKso3LKr8e85LWADfrdnB1+m9KLKYqFHcBDDO0S6+MmEEELU53L6dMqUKYwbN4758+dz9OhRysvL8fHxISEhgXHjxtGpUyeXrpueng7QaEmGn58fAQEBZGRkXPA6Bw4cAGDnzp289tprmBw1gACBgYG8/fbbDBw4sMn3m0ymBu+pdvyDKIS4/FSazGqrtQOOvy1We93v1Z07EuDujqIovLNrLwB+RiPDWhCsHnZkh931Ogqqa7jeXINbWWmT52sBbWkJm9euBY1B2rcJIUQbalVtQadOndp8U1tFRQUAPj4+jR739vYm11H7dz7OzYCvvPIK999/P3fddRdGo5FFixbxxhtvMGXKFBYvXkxoaGij7//4448bdLTQarV07969pR9HCHEJ2JWfj01RCHJ3p7Cmhhg/X9Zm24eATOoaB8D23DwyysoBuD0xHp22+VVrzszx6YpKAEYH+DbrfbaSEvzDO3BnYkKz7yWEEOL8XKo5vhg4J/ddddVVPPXUU4SHhxMYGMjdd9/NvffeS3l5OT/++GOT73/wwQfZuXOn+mfdunW/1tKFEO3Mjtx8ALwM9nzCsKhI9hcUoddquTHOPsHuo70H1PPv7Z587kWaYFMUUh01x7vyzgDQMz6uWe/NMxi5v3sSXkZDs+8nhBDi/NpdcOztbd9tXV5e3ujxioqKJrPKjV1n5MiR5xwbMWIEUFd60Rij0Yi3t7f6R2qUhbh87XQErQXV9v7GOkcJw9WdOhDo4U6FycR3h48CEObpwcCI5o9vzi6voMpiQa/VklNZiadeT/9hw9EEBjb5HgXINhjZ5OUr7duEEKKNtbvg2NmirbG64tLSUoqLi5vVIi4mxr5Bxtf33F9POl+rra1txUqFEJeLnXn2zHGVxYK/mxs78uyb85xdKmYeSaPGagVgcrfEFtX/Oksq/B1dMEbHdMbTzYj7XY13+1Ecfz8bGcOo6E7EBfi39OMIIYQ4j3YXHPfv3x+ADRs2nHNs40Z7P88BAwZc8DrO9m3Hjh0755jztaioKJfXKYS4PJSbTBxxBLAAQ6Mi1JKKmxwlFR/XK6m4I6ll9b+HC+2b8WodwfWEePs1Df0H4PHYk3BWL3lNYCBTuvZggX+QZI2FEOIX0O6C48GDB9OxY0cWLlzI4cOH1dcrKir44IMP0Ov1TJgwQX29qKiI48ePU3RWL9CJEydiNBr55ptvyHNkeZzX+fjjjwG4/vrrf+FPI4S42O3JP4MC6LX2bLCz7niUo6TiwJlCtjtqkmP9fekZEtyi6zszx+UmMzqNpsHgEEP/Aayd+mduiO3G/Z3imXfTrSz641RmePgQ5e3FuNiY1n9AIYQQDTQrOJ47dy6pqam/9FoA+3COV155BUVRuPPOO/nb3/7GG2+8wY033khaWhqPPvqoWjIBMGPGDMaMGcOMGTMaXKdjx448/fTTFBYWMn78eJ5//nn+8Y9/MH78eA4fPsxtt93G4MGDf5XPJIS4eDnrjS02Bb1Wy8EC+3+I3+ooqfh0/0H13N8lJbS4pZpzAAjAsA6RBLi7Nzj+/ZFjbPD2Y3ZACNeMvpYPHff7Q0o39C3oiCGEEKJ5mvXN+uyzz7JixQr1+ahRo/j6669/sUUNGjSIb7/9lr59+7JkyRK+/fZb/P39efPNN3n44YebfZ27776bDz/8kLi4OBYtWsSPP/6Iv78/L7/8Mv/4xz9+sfULIS4dzk4VAP3DQjlQWFdSUWOx8PXBusTBbQldW3z91HolG+MbyQQvPWnff9E/PIyCqhrWZ59Gp9Hw+x7dWnwvIYQQF9asPsdubm6YzWb1+alTpygrK/vFFgWQkpLCp59+esHzpk6dytSpU5s8PnLkyEY7VgghRHM4N+MB+Lu7AXUlFTNTj1Ls2NjbIziQ5OCmO0w0primhryqKvX5eEcNs1NGaRlFjus/2bcXH+3dD8CNcV2I8vFu+YcRQghxQc3KHEdFRbFhw4YGdb0yjUkIcak7ezPeyRJ7UmBSgr0P8ecH6vZFtHQjHjTMGicHBRLr79fg+H937gHAoNUyOqYTXx+yZ6kf7iUDiYQQ4pfSrMzxrbfeyuuvv84VV1wB2APjadOmNZgg1xiNRsOhQ4dav0ohhPgNODfjAXT29SG1uBidRsNNcV3IKitneXqmeu5tjhrklkgtPH9Jxey04wD0Dg1h1tFjlJvMxAf4M7JTxxbfSwghRPM0Kzi+9957CQoKYt26deTn57N161YiIyOlFZoQ4pLm3IwHEOXtRUZZOaM6dyTIw4MP92xXA+d+YaF0OSvr2xwHCgrVx2d3njhdXkFWeQUAv++RzId77O3iHkzphlZ+cyeEEL+YZgXHAOPGjWPcuHEAJCYmMnHiRB599NFfbGFCCPFbq78Zz1kbPKlrHDZF4YsDdb8Vu9WFrDHA5pxcALwNhnOm6r2zay8AGiA+wJ/d+Wdw0+m4t3uSS/cSQgjRPM0Ojut77bXXSEqSL2ghxKVt0+kcANx0Wo6XlKklFeuzT3OitG5T8i1dY126/iHHAJAroiLQ1WvLpiiKWl8cF+DHlwfttc23JcQT5OHh0r2EEEI0j0tNMidMmEBiYmJbr0UIIdqNCpOJk44AONoxcn5kpw4Ee3o0yBr3Dw8lxoWSihqzhdJaEwC3Ojb4OW3NySO30p6pHhMTzcwjaQAyEU8IIX4FLmWOnRYsWMCcOXM4fPgw5eXleHt7k5yczIQJE9QSDCGEuBjtzq+rN65xjHa+uWsc5SYTs47UjaWf1NW1kgpn/2KAW8+6xmf1BotYbDZqLFZ6hQafU3ohhBCi7bkUHNtsNp544gmWL1+Ooii4u7sTGhpKUVERmzZtYvPmzSxbtox33nkHrUxwEkJchNZknlIfZ5SVowFuiuvCD0fSqLJY1GOullT8cNQeYPu5GfF2M6qvV5nNfJd6FACjVsuyjCwAHurZQ1poCiHEr8ClyHX69OksW7aMfv36MXPmTPbs2cOqVavYs2cPP/zwA/3792fFihVMnz69rdcrhBC/iiXp9syur9EA2Ec7h3l58vn+ut7GrpZUAKzPPg1AUmDDwSE/HT1OpdkefKeEBJFWXIK3wcCdSS2fvieEEKLlXAqO58yZQ0xMDF988QU9e/ZscCwlJYXPP/+cmJgYZs+e3SaLFEKIX5uzzZpBpwPsJRVHiorVTXrgeklFbmUl2RX2Nm1XdWzYEvOLeoNFzDZ7s7jfJSfgYzQihBDil+dScHzy5ElGjBiBXt94VYZer+eqq64iPT29NWsTQojfRHF1DeUmMwCF1TUATIyPbbARD1wvqVh0Il19PCgyXH18sqSU1VnZ6vODjm4WD6bIRDwhhPi1uBQcGwwGqqurz3tOdXU1BoPBpUUJIcRvabqjjZqzwndgRBjhXp58ffCIek5rSirmpZ1QHycGBqiPnS3bADz0Oiw2G/3DQ+kdFuLSfYQQQrScS8FxUlISS5YsIS8vr9Hj+fn5LFmyhOTk5FYtTgghfgtzj9mDV6OzpCI+jp9PZpBTWYnBscnY1ZKKarNF3WSn12rp4mdvE2dTFL46mKqe55yC92BPyRoLIcSvyaXg+P7776ekpISbb76Zzz//nP3795OTk8P+/fv57LPPmDhxIqWlpdx3331tvV4hhPjFOcdGm9QWbrFqLbDZZgNg0lm9iZtrZWYWtY7rxvv7qTXNqzOzySgrR+8IiivNFnyNRm5PkI14Qgjxa3KplduIESN47rnnePPNN3nzzTcbHFMUBb1ezzPPPMOIESPaZJFCCPFrOV5SSpnJPpxDAXqFBuNrNDL/+En1nP7hoUQ7Mr4tVf86iUF1JRWfO+qZbfXOvTs5AS+jlKcJIcSvyeUhIJMnT2bkyJHMnz+f1NRUKioq8Pb2JikpiXHjxtGxY8e2XKcQQvwqZh893uD5zfFxzDh8BLPNhrfBQIXZ7HJJhU1RWFAvOHa2cSutrWV22nH1HCcpqRBCiF9fqybkdezYkSlTprTVWoQQ4jc362hag+c3d43lzkU/A1BptnewcLWkYmduPrmVVWg1GmyKom7Gm5maRo3FSoiHO2cc3TEGR4bTIyTY1Y8hhBDCRTK+TgghHCpMJnbl1Y2NTgoMoNZqZU9+AXqNBoXWlVQ4s8bOTX1JjrIKZ5cKd11dvkLatwkhxG9DgmMhhHBYmZmNtV5Zw81d4/jSsREvwN0dcL1LBcCCE/bg2LkhLyEwgNTCIjafzkWn0aiDQXyNRm5NcP0+QgghXCfBsRBCOCyuN5wDYHxsNDMO23sbFzh6u7taUpFVVs6e/AL1eZS3Fz5Go9q+rU9YCM6w/N7uSXgYWlX1JoQQwkUSHAshBPZOOwvrBcedfLzJKq+goLoGP6Ox1SUVzmvH+tvfnxQUiNVm42vHwBG/euOhpaRCCCF+OxIcCyEEsO9MAacrKtXntyV25UtHVtfPzR64tqakYqGj3jjS2xuwT8ZbnpHF6YpKgjzc2VdQCEBCoD/JwYEu30cIIUTrSHAshBDA4pMZDZ5f1TFKLbPIKrfXAt/SNdala1eazKzMzAZA5xhKnRQYoNYzj4+NIb/KXrbxWO+eLt1DCCFE25DgWAghgEX1Sip8jUYOFRZhVRRi/HxRgH5hocT4+7l07RWOqXjRvr7qprsoHy91TLVzD6BOo+H+Hsmt+RhCCCFaqVU7Ps6cOcPBgwcpKyvDZrM1es5NN93UmlsIIcQvrqi6hs2nc9XnwztEqhvljI62a65uxIO6Fm5jYjrx0b6DABwqLKbWaiUlJIjVWfasckpIMO562YgnhBC/JZe+hWtra3n++edZtGgRSr22R/UpioJGo5HgWAjR7v2cntlgMt3wDpEsXLcJd52Oo8UlAEzq6lpwbFMUFh5PB6BnaAg2RcHXaGT20WMATIiL5aXN2wD4Q0o31z+EEEKINuFScPzmm2+yYMECoqOjGTt2LGFhYegl2yGEuEjVL6nQauBkaRkAPUKC2J6bT99WlFTsyM0jr6oKH6MBX0dHimhfH3bknUGv1ZJbWbcJ8HdJCa5/CCGEEG3CpYh26dKlxMXFMXv2bIz12g8JIcTFxmqzsTS9bjNelLc33x+xj5C22OzZZFc34gEscGSNr4vuzLGSUvs9HVnqMTGdmOXIIMf6++LrJt+nQgjxW3NpQ155eTnDhg2TwFgIcdHblptHYXWN+ryzrw/FNbVEenmxN98+SnpSK6bVOeuNx3aJ5nBREQAZZeUA9AgJpqimFoCb412vaRZCCNF2XAqOY2NjKSgouPCJQgjRzi0+0bCFW5XZDEDP0GBsQO/QEGJdLKnILCtn75kCNMCYLtGkFhUDUGE2E+Lhwe68M+q510Z3cukeQggh2pZLwfHvf/97Vq5cSUZGxoVPFkKIdmzRWSOjdztGPJeZTEDrulQ4B38MjowgyMOd1MJi9dj4uBiWpmcCYNBqGRIZ4fJ9hBBCtB2Xao5DQkIYNmwYkyZN4p577iE5ORkfH59Gz+3fv3+rFiiEEL+U0xUV7M6vy96663TUWK0MjAhji6O1m6tdKqCupGJcbDTZ5RVUWSzqMZ1Go3bIGBoViYdBNjULIUR74NK38d13341Go0FRFKZNm4ZGo2ny3MOHD7u8OCGE+CUtOWsqnlZTN71ua04evUKDiQvwd+naFSYTqxz9i8fFxnC4sEg91js0mIX1MtYjO3Vw6R5CCCHankvB8ZQpU84bEAshxMXg7JKKKosFT71eHRfdmqzxiowsTFYbMX6+JAcFsiIjSz3WLyyU/+0/hAZQkOBYCCHaE5eC46lTp7b1OoQQ4ldlslpZnp51zus3xnVR26u1rktFOmDPGms0GtZnnwacfZTt3SoUwNtgoH94qMv3EUII0bZc2pAnhBAXu/XZp6lwdKaor6OPNxabjZ4hwcS7WFJhUxQ1Kz0uNhqALTn2GuaUoGBWZtYF5cM7RGLQ6Vy6jxBCiLbXqh0gVVVVrFy5ksOHD1NRUYGXlxdJSUlcffXVeHp6ttUahRCizS0+q6QCoIufb73exq6XVGzLsU/F8zUaGd4hilqLldMV9kl4oV4eKAUQ5O5OYU2NlFQIIUQ743JwvGLFCv76179SVlaG4thxDaDRaPD19eXll1/m2muvbZNFCiFEW1t0Mv2c125P7Mq/tu8CWldvPP/4CQCuj+mMUafji/0HcX5L7jtTCEClI2s9qnNHl+8jhBCi7bkUHO/evZsnnngCrVbLrbfeysCBAwkODqagoIBt27YxZ84c/vSnPzF9+nR69+7d1msWQohWOV5SypGiEgB1UxxAoJsbFpuNHsFBdA0McPn6847ZW7iNj4sB4JN9hwBw1+vIraoi0N2NoppaAt3dSQkJdvk+Qggh2p5LwfFHH32EwWBg5syZdO3atcGxMWPGcOedd3Lbbbfx8ccf89FHH7XJQoUQoq3UL6kwaLWYbDZ6hQSz3FELfFui6xvxjhWXcKiwCJ1Gw/UxnTlVXsFWR72xm1ZHDVa6BwexLvs0IzpGqe3jhBBCtA8ubcjbs2cPY8aMOScwduratSvXX389u3fvbtXihBDil+AczgFgstkAuCMpXm23dmurulTYr31lxygC3N35+lCqmpkuNZnQAGar/Z5SUiGEEO2PS8FxdXU1QUFB5z0nKCiI6upqlxYlhBC/lHKTiTVZpxq8pgG89HqsikLv0BCXu1QAzHcEx+NjY1AUhS8ONByEdF10Z3Y5Nv3JZjwhhGh/XAqOo6Ki2Lhx43nP2bx5M1FRUS4tSgghfinL0jMxO7LF3gYDYG/fNsdRJ3xrK7pUFFXXqP2Mx8fGsOl0DmnFJQ3OGdohglqrlUhvL7q2IggXQgjxy3ApOB4zZgwHDx7kmWeeIS8vr8Gx/Px8nn32WQ4ePMiYMWPaZJFCCNFWFjqGc0Bdx4ihUZGsdmSTW1NSsfhkOlZFoUdwEDH+fudkjTt4e1NhcnSp6NRBJo0KIUQ75NKGvD/84Q9s2LCBefPmsXjxYjp37kxQUBCFhYVkZGRgNptJSUnhD3/4Q1uvVwghXGa12RrUGztrgb0MBmyKQv/wULr4+7l8/fn1ulRUmszMTE1rcPyhXt3V+4/sJPXGQgjRHrmUOXZ3d2f69OlMnTqVsLAwjh07xtatWzl27Bjh4eFMnTqVb775Bnd397ZerxBCuGx7bj6FNTWAvcbYad+ZAqB1WeNai5UlJzMAe0nFj0ePUWE2E+T4HtQAt8THsT03H5B6YyGEaK9cHgJiNBqZMmUKU6ZMoaKigsrKSry8vPD29m7L9QkhRJtZeKIua1xpsQAQ4ObG1lx7eVhrguM1WdlUmM1EeHnRLzyMp9duAuy9jQE6+/pwqKgIm6LQNcCfTr4+Lt9LCCHEL6dV46OdvL29JSgWQrR7Px09fs5rYV6eFNfWMjgyvFUBq7NLxbjYaE6UlLI2+xQaIK+yCoBrOndSW8VdIy3chBCi3XKprEIIIS42mWXlpBYVA6CvtxGuwmQCWpc1VhSlQQu3z/bbJ+IlBwViUeyVzWO6dGa5MziO7uTyvYQQQvyympU5HjVqFBqNhi+++IKOHTsyatSoZl1co9GwYsWKVi1QCCHawsJ6G/EsioJBq8Vss5FdUQnApK6ut3DbnX+G7PIKPPV6hneI5PfLVgFQ4eiGAeBnNJJWXIJOo+GqjtLmUggh2qtmBceKoqAoSoPnzX2fEEK0Bz8cOdbgubXe99PQqAiifFwvDXN2qbguphOrsk6RW1lFgJuRjLJywJ6pPurodzwwIhw/NzeX7yWEEOKX1azgeNWqVed9/kvYt28f7733Hnv27MFsNhMXF8fkyZMZN26cS9czm83ccsstpKamEhMTw9KlS9t4xUKI9qrSZGbjqdMNXrMpCnqNBouicFsrSioA5h0/AcCNsV34dN9BACK9vSmuLQKga2AAq7KyAak3FkKI9q5d1hxv3bqVO++8kx07dnDddddxxx13UFxczFNPPcVHH33k0jU/+OADMjMz23ilQoiLwYrMLLX2FyA5KACwl1dogFtaMRUvs6ycPfkFaDUaeoeGsNjRzi2tpEQ9JyHQn5WZjuA4WoJjIYRoz1wKju+55x7mzp173nMWLlzIPffc0+JrWywWnn/+eTQaDTNmzOCVV17hmWeeYd68ecTHx/Pee++Rnp7eomsePHiQTz75hD/96U8tXo8Q4uL37eGjDZ6He3mpj6/sGNXgeUs5h3oMiQxnwYmT2BSFGF8fTFYbwR72HscBbu4UVtfgYzQwIDzM5XsJIYT45bkUHG/bto3s7OzznnP69Gm2b9/e4mtv2bKFzMxMxo4dS3Jysvq6t7c3jzzyCBaLhdmzZzf7eiaTiWeffZaePXty1113tXg9QoiLm01RWHIyXX0e4uGhtlcDWl9SccxeUjGuXpeKMseI6EDHABDnmOqrOnbAoNO16n5CCCF+WW3S57gx1dXV6PUtv/y2bdsAGDp06DnHrrjiigbnNMe0adPIyMhg3rx5aOq1bxJCXB525eVTbqrrGnFHYjzv7d4H2KfWTYyPdfnapbW1rMk6BUCohwcnS8vw1OsprKkhyMOdYsc0vhOlpYDUGwshxMWg2dHr6dMNN7OUl5ef8xqA1WolLy+PpUuXEhXV8nZFzpKJzp07n3PMz8+PgIAAMjIymnWtffv28emnn/Lkk08SExPTonWYTCZMjv6nYA/2hRAXn+mHjjR43jcsFGf18ajOHQn18nT52otOpGO22UgMDGBpun1PQ6C7O1UVFfwuKYF3d+0FYG++fTy1BMdCCNH+NTs4HjlypJp51Wg0fP3113z99ddNnq8oCk8//XSLF1RRUQGAj0/jk6q8vb3Jzc294HVMJhPPPfccSUlJ3H///S1ex8cff8y0adPU51qtlu7du7f4OkKI39ZPR+tauA2NiiCnXknFHYldW3Xt2Y6Je6OjO/HB3v0AZFdUoNVoGB4Vybu79hLs4U5BdQ0dfLxJCAxo1f2EEEL88podHN90001oNBoURWHu3LkkJiaSlJR0znlarRY/Pz8GDRrE8OHD23SxLfH222+TkZHBTz/9hM6FGr8HH3yQ++67T31eXV3NI4880pZLFEL8wk6VV3DKMeQD4Pc9ujH9UCoAOo2mVSUVVWYzSxydKXRaDSarjRAPd85U1zAuNppSx2+evAwGCqpruKZzRyntEkKIi0Czg+PXX39dfbxt2zYmTpzoUjeKC/H2tjfiLy8vb/R4RUVFk1llp4MHD/Lll1/yyCOPkJCQ4NI6jEYjRqNRfa7Vtsuud0KI8/jqYKr62MdoYFJCHFNXrgXgiqgI/N1dH8axLD2TKouFTj7eLD1pL6lwbsR7tHcKPztec27Gu6azjIwWQoiLgUsR38SJE/Hz82vrtQAQHR0N0GhdcWlpKcXFxY3WI9d35MgRrFYr7733HgkJCQ3+AJw8eZKEhAT69evX5usXQrQfziwxwF1JiRTV1FDuCFb/mNKtVdeenWYvqRgSGcHBwiIMWi21VisJgf6M6tSR1KJiAAqq7ZvyRnXq0Kr7CSGE+HW41K3io48+YvLkyW29FgD69+/Pxx9/zIYNG7jhhhsaHNu4cSMAAwYMOO81oqOjueWWWxo99uOPP+Lj48N1112Hh4dH2yxaCNHulNWa1AAV4PcpyXx5wB4sazUabu7q+uAPk9XKguPpAGqw7anXU2oy8WivFDQaDYfr3btnSHCrNv4JIYT49bgUHEdGRlLqaE3U1gYPHkzHjh3VISLOuuaKigo++OAD9Ho9EyZMUM8vKiqiuLiYgIAAAgMDAejTpw99+vRp9Po//vgjwcHB/POf//xF1i+EaB8+239QfdwjOIg+YaE8sHQlAHH+fri70GrSaXVmNiW1tYR4eLDGMRa61GTC22Dgnm5J1FgsnCwtU8+XLhVCCHHxcKms4oYbbmDDhg1N1gW3hl6v55VXXkFRFO68807+9re/8cYbb3DjjTeSlpbGo48+2qAt24wZMxgzZgwzZsxo87UIIS5en+6rC44f7tUDk9XKgcJCAG7oEt2qaztLKhIC/ak0W/A2GAC4p1sivm5GDhUWYVMUtI79d9dES72xEEJcLFwKjh9++GESEhKYPHkya9asodDxD05bGTRoEN9++y19+/ZlyZIlfPvtt/j7+/Pmm2/y8MMPt+m9hBCXnhqzRS1rMGq13JWcwKIT6Vhs9g7Hdye7tlEXwGqzMdcxFc/ZCcO56W5KrxQA9p+xfyfaFHDT6RgWFeny/YQQQvy6XPq9Ys+ePQF7L+PzBasajYZDhw65tLCUlBQ+/fTTC543depUpk6d2uzrHjly5MInCSEuah/vO6AO+rgrOQEfo5GP9x4AQK/V0iMk2OVrbzqdQ35VNd4GAydLy9BrNFgUhZGdOpAcbC/t2nemQD1/aFQEHoZfbBipEEKINubSN7Z0eRBCtGcfOgZyADzetxdltSZWZmYBkBIchL4VrRlnp9mzxiGeHlSUmtFptVisVh7tnaKes7+g7rdp0sJNCCEuLi4Fx9OnT2/rdQghRJswWSwcLSoBoKOPNykhwXx98LBaUjGiFS3VFEVRp+JlldunedZarXT08WZcbN1eCGdZBcA10bIZTwghLiYy2UIIcUl5f89+taTihUH9AZhx+Kh6fFBEuMvX3pmXT2Z5OQatFovNhrtj+uZjfXqq2eiCqmpyq+wjqoPd3ekVGuLy/YQQQvz6Wl0Il5eXR2pqKuXl5Xh7e5OUlERYWFhbrE0IIVrs7Z17AHsv47u6JZJXWcXy9Ez1+IAI17+fnF0qjDodZpuNGqsVL4OB3/eoGyhSv6RiTJdotDIyWgghLiouB8dZWVn8/e9/Z/PmzeccGzx4MH//+98vOMlOCCHaUo3ZQqaj3GFQRBjuej2f7DuoZpLDPD3p6OPt0rUVReEnR0lFpdmsbsR7oEdygzHU9TfjtbZlnBBCiF+fS8Fxbm4ud9xxBwUFBcTGxtKvXz9CQkIoKChg586dbNq0id/97nfMmjWLiIiItl6zEEI06p9bt6uP37/6KgBmHKrrUDMwIgyNi5ncw4XFHC0uQQMogEVR0GAvqahv0+lcADRIvbEQQlyMXAqO33vvPQoKCnj55ZeZNGnSOcdnzZrFCy+8wPvvv88rr7zS6kUKIURzfLjH3q7NQ6+jV2gIx4pL2Jabpx5vi5IKpd5rN8Z1Idbfr8F5W3PswXFCYAAB7u4u308IIcRvw6UNeRs2bGDkyJGNBsYAkyZNYsSIEaxbt65VixNCiOYqqKqisKYGgPGxXQCYcdieNfZwjIoe2Irg+Ke0Y+pj5xfnn/r1anCOTVHIdpR1jImRsjIhhLgYuRQcFxYWEh8ff95z4uPjKSoqcmlRQgjRUo+vWq8+fnvEUGyKwlcHUwGotlgA6OfiZuETJaXsya+rJbYBfcNCGXrW5LtDBUVYFXtu+a5WTOETQgjx23EpOA4MDCQtLe285xw7dozAwECXFiWEEC0155i97MHfzUi4tzfrsk5xsrQMD7293VpCoH+DjXMtMfNI3fed80vzyb69zqlfnplqbxln0GqlhZsQQlykXAqOhw4dyurVq5k1a1ajx3/88UdWr17NsGHDWrU4IYRojrWZ2VRbrADc0y0RgC8OHAYgMTAAgIHhrvc3/j61rk+yDYjy9mJSQtw55y3LsE/hi/bzcXnjnxBCiN+WSxvypk6dypo1a3jhhRf4+uuv6d+/P0FBQRQWFrJ9+3aOHTtGQEAAjz76aFuvVwghzvHMuk3q46f69aHcZOLHo/YaYTfHoA5XN+MdKihiX72JdwCP9k7B6Liuk6IoHHT0OB4a2bDcQgghxMXDpeA4IiKC7777jhdeeIGtW7eeU2IxcOBAXnzxRWnjJoT4xRVV16gdKYI93Ono68Nn+w9SZbHQNcCPo8UlgOub8b6rlzUG8NTr+WNK93POO1JUTKWjtvnGuJhzjgshhLg4uDwEpHPnznz11Vfk5uZy6NAhKioq1Al5EhQLIX4tr27dobZXe6B7MlBXUjEuNoa3duzBTacjJSS4xddWFIVv6vVJBri3exKBHue2aJt37IT6eEArRlQLIYT4bbV6fHR4eDjhrajlE0IIV5mtVj7ee0B9/kBKN44WFbPxVA5ajYYYP18AeoeGnFMG0Rw78/JJLytr8NrjZw39cPrJ0QfZy6An3MuzxfcSQgjRPrQ6OM7LyyM1NZXy8nJ8fHxITEwkzMV2SUII0RI/Hj1GhdkMQIyvD/EB/vxlvb3++LroTqQWlQCu1xvPOCtrPC42hq6ODX71lZtM7Mo7A0D34CDZjCeEEBcxl4PjEydO8PLLL7Nly5Zzjg0ePJjnn3+eLl26tGpxQghxPv/YXDcu+o89u2O12fja0dv4vu5J/HPLDgCGRrW81MumKHx9KLXBa88N7NvouSsystT+xgOlpEIIIS5qLgXHx48f584776S0tJT4+Hj69u1LcHAwBQUF7Nq1i02bNnHHHXfw7bffEhsb29ZrFkIItpzOJbWoWH1+Z1ICyzOyOFVRSaC7O8OiItl3xj64Y1iHlnePWJ99mqKaWvX5lR2iGBzZeJC9+ES6+rhHcFCL7yWEEKL9cCk4fvPNNykvL+f111/npptuOuf43Llz+ctf/sK///1vPvzww9auUQghzvHm9l3q414hwXTy9eH/1m4A4M6kruzIy0cBugb4E+7l1eLrv7trT4PnTWWNFUVh8ckM9XmPEAmOhRDiYubSEJDt27dzzTXXNBoYA9x0001cffXVbNu2rTVrE0KIRmWXVzDXMREP4IEeyRTX1DDX0THivu5JrMs+DcBwF7LGZquVhfWywb1DQ7g2ulOj5+49U8Dpikr1ebcgmQwqhBAXM5eCY41GQ3R09HnPiYmJkU0pQohfxPu792Fz9G/TAJMS4vnu8FFMVhspIUH0Dg1hXfYpAIZ3iGrx9WempmGy2tTnzw3s2+T3Wf2Sii5+vngbjS2+nxBCiPbDpeC4V69eHDhw4Lzn7N+/nz59+ri0KCGEaEqV2cwHe/arz4d3iCTMy1PtbXxf92QqzWZ2OrpHuJI5/le9ko34AH8mxje9d2LRibqSCld6KQshhGhfXAqOn3nmGfbu3ct7771HTU1Ng2M1NTW888477N+/n//7v/9rk0UKIYTT9ENHKDOZ1Od3d0vkwJlCduTlo9dq+V1SAltycrHYbHTy8aGzo9dxcxVV17C/oG5c9NP9+6DTNv5VWVhdzZacXPW5bMYTQoiLn0sb8j7//HMSExP54IMP+Oabb0hOTiYwMJCioiIOHTpEWVkZ/fr14/PPP2/wPo1Gw6uvvtomCxdCXH5sisJ/d+5Wn+s1GibExfLKFntLt3Gx0YR4erAuy1Fv3LHlWeO/btisPo708uLu5MQmz5137CQ2RcFDr6faYpHNeEIIcQlwKTieM2eO+ri0tJTNmzefc8727dvZvn17g9ckOBZCtMby9EyOOAZ7AFwX0xkPvZ4vD9pLKpzjo13djKcoCjPq9Tb+c//euOmbnqz309FjAFhs9vpkyRwLIcTFz6XgeOXKlW29DiGEuKD/7NzT4PkdiV2ZeSSN4ppaon19GR3TmVqLVS11aOlmvHnHTlJutgDgazTyx5RuTZ5bUlPL8owsAMw2G246HXEB/i26nxBCiPbHpeA4Kqrlu7+FEKI1dubmsyw9U33uptMxPi6GUT/Yf5P1UM/u6LRaNp8+Ta3VSqinB11bGKw+u26j+viJvj3P23li4YmTmG02ory9OFVRSbfgQPRN1CYLIYS4eMg3uRDiovDa1h0Nno+PjSG1sJjtufkYdVru7+Esqahr4daSdpJbTudypLgEAINWy2N9ep73/J+O2vssx/r7AVJSIYQQlwqXMsdOCxYsYM6cORw+fJjy8nK8vb1JTk5mwoQJjBs3rq3WKIS4zKUWFjE77XiD125PjOfDvfaWbrcmxBPi6QG4Xm/8l/Wb1Mf3dU8iyMOjyXMrTCaWpttbuBkd2WIJjoUQ4tLgUnBss9l44oknWL58OYqi4O7uTmhoKEVFRWzatInNmzezbNky3nnnHbTya0YhRCv9a/sulHrPfQwGBkaE87vFywB4pFcPwL4xbuOpHKBlwfGBM4WszrJnnLUaDS9fMei85y8+kUGNxUqsvx+Z5RUA9JAex0IIcUlwKXKdPn06y5Yto1+/fsycOZM9e/awatUq9uzZww8//ED//v1ZsWIF06dPb+v1CiEuM5ll5Uw/dKTBazfFd+H71KPUWKz0Cg1mUEQ4AHvyz1BhNuPv5kb3FmRyX91a11nnxtgYQr08z3v+T2n2LhXjY2M4VlIKSOZYCCEuFS4Fx3PmzCEmJoYvvviCnj0b1uWlpKTw+eefExMTw+zZs9tkkUKIy9dbO3arrdKcbk2I58O99imdU3qlqLXFzpKKYR0imxzccbaTJaV8n5qmPn//6qvOe3612aJOxesWFIhNUQj19CD8AgG1EEKIi4NLwfHJkycZMWIEen3jVRl6vZ6rrrqK9PT01qxNCHGZO1NVzf/2HWzwWoSXF1rgeEkpfm5G7kjsqh6r24zX/JKKN7bVlWwMjAgjwtvrvOcvy8ik0mymk48PpY5JfQMjwlu0+U8IIUT75VJwbDAYqK6uPu851dXVGAwGlxYlhBAA7+zaQ7XF0qBF2r3dE/nYETDf2y0JL6P9e8amKKzPblm9cW5lJZ/trwu+/3PVsAu+xzn4Y2LXWLY6+ikPighr1v2EEEK0fy4Fx0lJSSxZsoS8vLxGj+fn57NkyRKSk5NbtTghxOWrrNbEtN37ABqUVVzXuRMLT6QD8LBjIx7AoYIiimpq8DIY6B0a0qx7vLV9NxbFnjeO9PJkSFTEec83Wa3MP34SgJvjY9maY/8OHBQZ3rwPJYQQot1zKTi+//77KSkp4eabb+bzzz9n//795OTksH//fj777DMmTpxIaWkp9913X1uvVwhxmfhwz35Ka0141CvfGt4hkmUZWdgUhVGdOpAQGKAec5ZUDIkMx6BreuSzU3FNjRp8A/zfgL4XfM/KjCxKa01EeHkR4+dLRlk5GqB/uGSOhRDiUuFSK7cRI0bw3HPP8eabb/Lmm282OKYoCnq9nmeeeYYRI0a0ySKFEJeXarOF/+zcbX9ssaiv35OcyF82bAbq2rc51fU3bt4Ez3d37qXGagVAp9FwX/ekC77nJ0ev5QnxXdiea88adwsOwuc8k/SEEEJcXFweAjJ58mRGjhzJ/PnzSU1NpaKiAm9vb5KSkhg3bhwdO3Zsy3UKIS4jXxw4RH5VNd4GAxVmMwC+RiM6rZb8qmoivb0YH9dFPV9RlBYN/6gym/n3jl3q80kJcfi5uZ33PRabjbnHTgBwc9dYdZS11BsLIcSlxaXgeO7cuQQFBTFs2DCmTJnS1msSQlzGai1W3thmD1xNjswu2Cfifexo3/ZgSvcGm/SOl5SSU1mJUadlQDOC1Wm791FhrstIP5jS/YLvWZd9isLqGoI83BneIYqXN9t7I0u9sRBC/D979x0eZZU9cPw7Nb1DCiEhgVBCb6FI773asWAvFNu6q666uupvbeuuq1hwbSiorIrSkd57J0CoIb2R3qe9vz9mMhBIIITATJLzeZ48k3nfO++cGTQ5uXPuuQ1LrWqOX375ZbZu3VrXsQghBP89HEtiYSE+ej0Gi4WKBmk9ggLZmZaOi0bDY106VHpMxaxx75BgXKtpMVmh0GDgjR277fcjvL0YGHb1UoxfTthKKmwz1nvSMwHsG5AIIYRoGGqVHDdt2hSj7aNOIYSoK8UGI2/t3AtgT3IVoGOTAJbYShqmd2hHsEflXsQbk5KBmpVUvLtrH8UXzRo/3KkD6qv0KLYoCr+dtibHt7aJ4uj5bIqNRrz0OtpdtChQCCFE/Ver5Hj48OFs27YNg60BvhBC1IWPDxwio6SEEA93MkpK7EnruMgWLI9PQAU8H9O90mMsisKqeGv977DwK691yCkt4/09+ysde6AGC/G2JKeSXlyCj4ueoeHN2Wlr4dYrOKjGO/EJIYSoH2r1U/3pp5/Gw8ODmTNncurUqas/QAghriKvrNxea9zMtkudRVHQqdUkFBQCMLV1K1r7+VZ63N70DLJKS/HW6+l/lT7Ff926HcPFPZMjwmnu5XnV2L6NPQ7A7W2i0Gs0Fzb/kHpjIYRocGq1IG/y5MkYDAaOHz/O1q1bcXFxwd/f/7LtU1UqFWvXrq2TQIUQDds/9+4nr7yc1r4+7MvIsh8fGRFub6H2l17dL3vcctuGICMjwq/Y3zi9uJgvDx8DQK1SYVEUZnbrfNW4igwGfrbtivdgR+vGRjtTK3bGk+RYCCEamlolx4qioNPpCAkJuez4le4LIURVMopL+HDfIQBaeHtxKi8fnVqN0WLBRaPBaLEwOCyUXlUko8vPJgAwrmXEFZ9j9rpNmG0/kyyKQitfn6s+BuCXk2coNhpp7edL32bB5JWVczwnF7AuABRCCNGw1Co5Xr9+fV3HIYRoxN7etZdio5EuTZuwMcm6053RYqGZpwd/xFuT37/EXD5rnFZUzL4Ma9eIMZEtqr1+fF4+v560zj6767SUGE083b3LVRfiwYWSigc6tEOlUrHbtvlHSx9vmrq7XcOrFEIIUR/IShIhhEMlFhTy2aEjALTx88GkKPjaNuRo6+dLsclEpyYBjK4i+V1pS5xjggMJ8nCv9jke+mMdCtYfeCVGE956fY0W4p3Ny2dTcgoq4P4O1vFSbyyEEA1brXfIq2AymTh37hyFhYV4eXkRERGB9ip9RoUQosIbO3ZjMFsYEBrCCluJRF55OSrgSFY2YK01vnRNA1yoN75SecThzCz7bHSIpwcpRcU83Kl9jbZ8nnfUOms84qKFe1JvLIQQDVuts9icnBz+9a9/sXz5csrKyuzHXV1dGT9+PM8++yz+/v51EqQQomE6mZNrL1to5+/PlpQ0/F1dyCkrp0vTJhzMOk+4lxd3tm192WMNZjNrEqwt3MZGRlT7HPetWAOAXqMmpagYtUrF7BosxLMoCvOOxgHwgG3WWFEUexs3SY6FEKJhqlVynJGRwd13301qair+/v707NmTJk2acP78eY4ePcrPP//Mtm3b+PHHHwkKuvpWrkKIxum17bswKwpjIlvYN9koNFg3GDpfav2j+7meXavsQrE1JZVCg5Egd3d6BAdWef31CckcPm+dfe7cpAl7MzKZ2CqSSF+fq8a2KSmFhIJCfFz0TLbtinc6L5+csjJcNBq6BDa59hcshBDC6dUqOX7vvfdITU1l9uzZPPLII7jY6gMBysvL+e9//8ucOXN4//33+ec//1lnwQohGo6dqen8FGftk965SQAr4xPwdXEhr7yclj7enM0vwM/VhYc7ta/y8cvPnAOsC/GqWlinKAr3rVgNgK+LnlhbkvxMj641iu+bWGvbt7vatcFNZ/1RWVFv3D2oKfortI0TQghRf9UqOd66dSsDBgxg5syZl51zcXFh1qxZHDhwgC1bttQ6sMOHD/Pxxx9z8OBBjEYjUVFRTJ8+nQkTJtTo8Xv37mXt2rXs3r2blJQUSkpKCA0NZdiwYTz++ON4e3vXOjYhxPWxKAqz120CrNtB/2hLki22VmsVXSBnde2MZzW1wcvjzwHV1xu/vWsvqcXFgDWB/jHuFF2aNqnRFtMF5QZ+sXW3qCipAKk3FkKIxqBW3SoMBgPt21c9m1OhY8eOtd5eeteuXUybNo29e/cyatQo7r77bnJzc3n++ef5/PPPa3SNp59+mu+++w4PDw8mTZrEtGnTcHNz48svv+TWW28lOzu7VrEJIa6PYrGwfMVKWsQdZWRZMTFNm5BYWIiXXkeBwYC/qwvxBQV46HTMqqY2+ExePidy8tCq1YyIuHzL6IKycl7fvhuAzk0D2JKSBlhnjata2HepX06eptRkop2/H71DLpSGSb2xEEI0fLWaOe7YsSPx8fFXHHP27Fk6dux4zdc2mUy88sorqFQqFixYYE/CZ86cyV133cXHH3/M6NGjiYiIuOJ1pk+fzuTJkwkMvFCLqCgKf//73/nxxx+ZM2cOr7322jXHJ4SoPeOe3ZR8/y2DcnMZZDuWce4EE4JbsDc0jEKDEa3a+jf7sz26ElhNe7aKLhUDQpvhc1FZV4Xblq7EaLGgVsHjnTsyc90mAt3duKvd5Qv7qlJRUvFAh2h7Ml1qNHEo6zxApYRZCCFEw1KrmeOnn36aDRs2sGjRoirP//LLL2zatImnn376mq+9c+dOEhMTGT9+fKXZaU9PT2bMmIHJZKr2eS/22GOPVUqMwbqd9YwZMwDYs2fPNccmhKg9457dlH70b8jNrXS8aXkZ3yWcoGdKEnqNmsySUvxcXfhTz27VXutCC7fLex9vT0ljTUISYE2M5x8/AcATXTriWoM2k6dz89iakoZapeK+Dm3tx/dnZmKyWAj2cCfc2+uq1xFCCFE/1WrmeOfOnfTu3ZuXX36ZL7/8ku7duxMQEEB2djb79+8nPj6efv36sXPnTnbu3Gl/nEqlqrJO+WK7d1s/Cu3fv/9l5/r161dpTG1U9GDWyGIaIW4axWKhbP48FODSogY1YAHeSY1nc5MgDFh4sVcPfF0vnxEGKDYY2ZiUDFxeb6woCrctWQGAj17P/e3b8tmPsejUap7s2qlGsVa0bxsVEU4zT0/78YvrjWtSmiGEEKJ+qlVyPGfOHPv3Z8+e5ezZs5eN2bp1K1u3bq10rCbJ8blz5wBo0eLyGSEfHx/8/PxISEioRdRWv/76K3Ah0a6OwWCoVDNdWlpa6+cUorEzn4hDycm5LDGuoAaaGw10ysvmTFCzamuNAdYlJmEwW4j08aatv1+lc2/t3ENacQkA344Zzvt7DwJwV7vWBHt4XD1Oi8W+8cfFC/FA6o2FEKKxqFVy/N1339V1HHZFRUUAeHlV/bGlp6cn6enptbr28ePH+eSTTwgICOCRRx654ti5c+dW+iNArVbXqoZaCAFKXu7VBwFBRgPT+sbgrtNVO+biXfEunsHNLSvjzR3WcqkegU2J8PFm0akzqIAXe/Ws0fOvTUgiqbAIXxcXJkZFVjq3U7aNFkKIRqFWyXGvXr3qOo4bLikpiccffxyz2cy//vWvq+7e9/jjj/Pggw/a75eWltrrlYUQ18bkVbPWiWpf32r7GoO1bGJFvPWTo0tLKm5dvMK+CO/3KeOYZWsVd1e7NrRvUrPdOj/cdxCA+zu0q1SfnFpURHJhEWqVih5BTWt0LSGEEPVTrbePvlE8bTV+hYWFVZ4vKiqqdla5OikpKUyfPp2cnBw+/vhj+vTpc9XH6PV69Bf1V1Wra7V2UQgBfFRYykSdnhCjocpVwBYgVadn4pjRV9xc43DWeZILi3DXahkcFmo/viExmQ1JKQA82aUTGcWlLD4dj1ql4m99Y2oU49Hz2aw6l4hapeLp7l0qnVuXYK1x7tK0SbV9l4UQQjQMTpfxVbRoq6quOD8/n9zc3CrrkauTnJzMfffdR2ZmJh9++CFDhgypq1CFEDWQkF/Am7v380KzSFSAcsl5i+32k7aduLt9uyteq6KkYliLMPvMbrnJfGERnoueD4cO5PXtuwCYFt2GdgE1mzX+t23WeEpUS1pesr10xfOOraI7hhBCiIbF6ZLjmBjrLM+li/kAtm3bBtS8rCM5OZn777+fzMxM/v3vfzN8+PC6C1QIcVWKovDo6vUUG43kduiI5YmZpOkrd6FI1em5v0VbRt46Fc1VPqFZfNraX/3ikor7V64mp6wcgG9GDedARhbLzp5DrVLxap+azRpnFJfw/TFrl4rnLmkhZ7JY+ONcIgBjIyMufagQQogGxunKKvr27UtYWBjLli3j/vvvJzraumK8qKiITz/9FK1Wy5QpU+zjc3JyyM3Nxc/Pr1IdcUVinJGRwb///W9GjBhx01+LEI3dV0eOsSYhCVethq9HD+fdI0d5v1137lYruBQXctIC2z28iWkWzMRWkVe81omcXHanZ6BRqZgc1RKAlWfP8b8TpwEYHRHOlDatGPvrEgDujW5Lm0u6WVTnkwOHMZgt9AkJ5pbQkErndqSmkVdeToCbq2z+IYQQjYDTJcdarZa33nqLRx55hGnTpjF+/Hg8PT1ZvXo1ycnJPPPMM0RGXvglumDBAubMmcOsWbOYPXu2/fj9999PSkoKXbt25cSJE5w4ceKy57p4vBCibiUXFvGnjdZPgN7q1wc3rZb/7D+ERaVCEx3N17aZWoB/DOh71d7B39n6D4+JbEGQhzv55eXcuWwVAB46LQsnjGFnajor4xPQqFS8WsNa41KjiU8PHQGocuORipKK0REtrjqzLYQQov5zuuQYoE+fPvzwww989NFHrFy5EqPRSFRUFE8//TQTJ06s0TVSUqyLcw4ePMjBgwerHCPJsRA3hqIoPLZ6PQUGA31CgnmmR1ceX7OBMpOZvs2CWXLmwvbz41tGMDQ87IrXsyiKvexhuq3/8J1LV1FoMAIwf+xIvF30vGarNb6/Qzui/HxrFOt3x+LILi0jwtubya1bXnZ+xVnr+gepNxZCiMbBKZNjgM6dO/Pll19eddzs2bOrTHKrmikWQtwc3x2NY2V8Ai4aDV+PHsaJnDy+ibVurtHWz5cdtt3mXDRqPho68KrX25CYbO8/PL5VBPOPxdnrgMe3jGBy61ZsT0lj9blEtGo1r9Sw1tiiKPxr7wEAnunRBe0lM8OJBYUcOZ+NWqViVER4jV+/EEKI+stpk2MhRP2UWlTEMxu2APD6Lb2IDvBn8u/LsCgK4yIj+OXkGfvYV/r0IvKSzhBVqdi17q52rckuLePRP9YD4KnT8f3YkQD2WeMHOrS7rNtEdVacPcfJ3Dx8XPQ8VEV/5ZW2nsp9QoIJcHOr0TWFEELUb1JAJ4SoM4qi8OSajeSVl9MzKJDnY7rzR3wCi0/Ho1GpCPRwo8hoLYWI8vXhzzHdr3rNQoOBX20J9X3t23Hr4hWUmc0AzB87Al9XF7Ykp7A2IQmdWs3LNZw1BvjANmv8WOeOeFXRv/jCbnxSUiGEEI2FJMdCiDrzY9xJlpyJR6dW883o4RjMZp5cuxGABzpE88Pxk/axnwwfjIu2+g0/Kiw6eYYSk4k2fr7sTE1jV3oGABNbRTCpdSssisJfNm0H4KFO7YnwqdlufPszMtmYlIJWreapSzb9ACgzmViXkARcvhufEEKIhkuSYyFEnUgtKmL2us0AvNo3ho5NA3hzxx7i8wto7uUJKii3zfje1roVI2tYwzvP1qVicFgof95sTYK99Dq+GW1tzzgv9jg709Lx1OlqvBsewL/2HgTgjrZR1vgusSkphRKTiVBPDzo3bVLj6wohhKjfJDkWQlw3k8XC3cv+IKesjK6BTXixVw+OZJ3nn7ayhb/1ieFb24I8V42Gf9dgER5Yd9fbkGTduvl/J05jUaz7680bPRx/N1dyy8p4wZYwv3ZLL5p5Xp7kViW5sIiFJ04BVbdvg4t3xYu4aps5IYQQDYckx0KI6/batl1sTk7FU6dj4fjRaNRqHlu9AZPFwtTWrViflIzZlti+2b9PlTO1Vfn+mLXrjLdeT165dRe8hzu2Z0qbKAD+tm0XWaWlRPv78XQVpRHVeWfXXkwWC4Oah9I9KPCy84qiXEiOI6XeWAghGhNJjoUQ12Xl2XP8Y9deAL4cNZQ2/n58fvAIO9PS8dLreLRTexbGWWdpI729a5zEKorCd7bexgUGAwDR/n7MGT4IgEOZWXx60Lp5x5zhg9Bprl6/DHAyJ5e5h48C1m4aVY7JzeNsfgF6jZrhLa7cg1kIIUTDIsmxEKLWkgoKuW/lGgCe7NKJO9u1IbWoiJe27ACsO+M9s2ELim38t2OG1ziJ3ZmWzqncPPt9N62WpVMn4KrVoigKs9ZtwqIo3NE26qqbiFzsr1t2YLJYGNcygsHhzascUzFrPKh5KJ5VdLEQQgjRcElyLISoFaPZzF3L/iC7tIzuQU3515D+ADy9fgsFBgO9goMoMZk4YUtw741uw8Cw0Bpfv6LNWoXvx46gla1/8fxjJ9iakoa7Vss/B/Wv8TV3pKbx66kzqFUq3hlwS7XjVlxUbyyEEKJxkU1AhBC18tctO9iemoa3Xs//JozBVatl2Zl4fjl5Go1KxZv9ejPut2UABLq58fmIoTW+dmpREYsu2ixkVrfO3GqrMy4oN/DnTdsAa1eMMG+vGl1TURT74x7sGE3HpgFVjis0GNicnApICzchhGiMZOZYCHHNlp6Jt3ei+Hr0MFr5+lBQbmDm2k0APNezG69s24nJYrGOnzIeD72uRtc2mM2M+mWJvRSjW9MmfDD4wuzw69t3kVFSQhs/X56rptNEVZaciWdbShpuWi1/v6V3tePWJiRhtFiI8vWhtZ9vja8vhBCiYZDkWAhxTc7m5TPdVmf8VPcu3NomCkVReGLNBhILC4nw9ibS24s96ZkAzO7WmV7Ngmt0bYui8PAf64g9nw2ATq1m0eRx6G11yrFZ2Xy0/xAAHw8bZD9+NSaLhRc2W2eNn+3RldArdMu4sCteRI2uLYQQomGRsgohRI1ll5Yy5tcl5JaVExMcyPuD+gHwdewxfow7iUal4osRQ5jwu7WcItTTg38PGVDj67+waRvzbe3bAD4aOtC+453JYuHxNRswKwpTr2ETEYCvjhzjRE4eTdxc+Uuv6resVhSFFWcTAEmOhRCisZKZYyFEjZSZTEz+fTknc/MI8/Lkd9uMbmxWtn1nvP/r35e/79hNudmMClhz22Q06pr9mPlgz357qQZAhwB/nujayX7//3busdc4X0vCXWQw8Nq2XQD8rW8vfFxcqh17IDOLtOJiPHQ6Bjav+eJBIYQQDYckx0KIq7IoCg+sXMvWFGtyumLqRJp5elJsMHLnslWUmkyMiggnxMOdbalpADzXoxvRTfxrdP35x+J43rZYzn5s7Ej799tT0nhjxx4APhsxmPAaLsIDa9eLjJISWvn68HiXjlccW7GL3+iIcFy0NSvZEEII0bBIWYUQ4qr+umU7C0+cQqtWs2jSWHunh6fWb+ZYdg4hHh78e/AAun3/EwDNvTx5f3C/Gl37j/gEHly5ttKxcS0j6BrUFID88nLuWb4ai6Jwb/u2TItuW+O4M4pLeH+PdTb6H/37XrFGuchgYN5R66YjV0uihRBCNFwycyyEuKK5h2J5d/d+AL4cOZRhth3j5h+L4+vYY6hVKr4bM5wJvy2zl1OsnDoRlUp11WvvScvg1iUrMClKpeN/6xtj/37m2k2cKygg0sebT4YNvqbY/7xpK8VGIzHBgdzeNuqKY384fpICg4HWfr721yiEEKLxkeRYCFGtFWfPMWPtRsC61fL0jtGAdQvmJ9ZYj7/SuycfHzjMmfx86/0+MdX2EL7Y/oxMRv+6mGKjCQB3WxnDyIhweoVYu1vMPxbHguMn0KhULBg3Em+Xmu9W9/upM3x/7ARqlYqPhg66YrKuKAqfHDwMwJNdOqKuQWIvhBCiYZKyCiFElXanpXPH0lXWeuMO0fytby8ASo0m7li6imKjkcFhoWjUKpaciQdgUPNm/L1f9T2EK+xITWPMr0vILzcA1sTYYLHOHr/axzprfDYv356Y/61vL/o2C6lx7FklpTy+ZgMAf47pRp+rtJLbnprG4axs3LRaHrD9ASCEEKJxkpljIcRldqamM+LnxRQbjQxvEcYXI4egUqkwWyzct2I1h7LO08TNlekd2vHa9t0ANHVzY+nUCVctp9iYmMyIn3+3J8YalYoREeGYLBYGh4XSv3kzTBYL965YTaHBSL/QEP7ap2eNY1cUhRlrN5JZUkqHAH/+fkufqz7m04NHALi7XRv8XF1r/FxCCCEaHkmOhRCVbEtJZeQvv1NgMDCoeSi/TRqLTqNBURSe27iVX0+dQa9R8+6AW3h8tXV2VqNSseb2SXjpr1z28Ed8AmN+XWIvpdCoVHw+Ygh/nEsErCUZAH/fvpsdqen4uOhZMHYk2hq2gwNYeOIUv5w8jVatZt6YEVftOpFZXMLPJ04DMLNbpyuOFUII0fBJciyEsNuSnMKoX5ZQaDAyJKw5y6dOwNOW8P5r7wH77nT/GTqQl7bswGDbHnrOsEF0CWx6xWsvPn2Wib8vo8xsBkCrUvHLxDGcyMmlzGSmb7NghoY358fjJ3lrp7Vt2+cjhtDCtglITaQVFdtLMV7p05MewYFXfcxXsccwWiz0Dgmie9DVxwshhGjYJDkWQgDWcofRvyyxl1IsmzoeD70OgJ/iTtr7EL/dvw9fHT5GZmkpALe1ibpq67OFcSe5bclKDGZrMq1Tq1g0eRz9Q5vx2aFYwDprvCU5lQdWWbemfrZHV+5q16bG8SuKwqOr15NbVk73oKb8tffVSzHMFgufH7Q+/4yuMmsshBBCkmMhBLAuIYmxi5ZSYtvMY8nk8bjrrInxxsRkpq+0JqwzunZibUIyezMyAYj08eab0cOqrTNWFIV3d+3j7mV/YLLNMuvVan6fPJ4JrSL5976DFBuNdA9qSksfbyYvXo7BbGFq61b8c3D/a3oN38YeZ/nZc+g1ar4bMwLdFXoaV1gRn0BiYSH+rq7c0bb1NT2fEEKIhkm6VQjRyC0/E89tS1dSZjIzNrIFv04ai6vW+qMhNivbnrBOahXJ8ewcNiSlAKDXqFk8eZy97OJSZSYTj61ez/fHTtiP6dVqlkwZz6jIFiQWFNrLNGZ37czYRUvJLSunT0gw88eOvKZ2agn5BTy9wbqF9Zv9+tChydVbyQF8esDavu3hTu3tr1kIIUTjJr8NhGikFEXhw30HeX7TNiyKwoRWkfw8YYx9AVtCfgFjFlnbrfUNCSbfYGCjLTEG+HrUcDo1bVLltdOLi5ny+wp2pqXbj7lqNSyZPJ4REeEoisJjq9dTZDTSOySIzw4dIT6/gJY+3iyePA43Xc1/NJUaTdy5bBWFBiN9mwXzp57davS4M3n5rDqXiArZEU8IIcQFkhwL0QgZzGZmrdvEfw8fBeCxzh2YM2yQvRThRE4uI37+neTCItr4+aJVqyslxv8ZOpB72le9jfOBjCwm/r6M5MIiVICCtc3b75PHcUuotVfxvKNx/HEuEReNBi+9jrUJyfi7urLi1okEerjX+HVYFIXpK9ewKy0DP1cXvhszAk0NO1t8ZmvfNjqyBa18fWr8nEIIIRo2SY6FaGRySsu4dckKNialoFap+GBwf57u3sVeN3wgI4tRvywmq7SUNn6+NHFzZUtKqv3xr/aJ4anuXaq89q8nT3P/ijWUmEz2xLhjkwCWThlPhK3rRGpREc9u2AJAz6BA1iYko9eo+X3yWNr6+13Ta3l5yw5+PnkanVrNb5PGEeXnW6PHlRpNfB17DICZshBPCCHERSQ5FqIROZGTy/hFSzmdl4+XXseP40YxrlWk/fyW5BTGL1pGgcFAl6ZN8NTp2JaaZj8/o2unKnfAKzWaeGHzNj621fCCNTEe1zKCH8aNsm/7rCgKT6zZSF55OYFubvZrzxszggHNQ6/ptXx95Bjv7N4HwJejhjIorOaP//bocXLLyonw9mZ0ZItrel4hhBANmyTHQjQSK8+eY9ry1eSVl9PC24ulU8ZXqhleefYcty5ZSanJRK/gQIqMpkqJ8V3tWvPxsEGXdaY4nHWeacv+4Gh2TqXjz/boyvuD+lUqc/gx7iRLz8SjBjJLS1EBn40Yck0t28DaXaNie+hX+8Rwf4eab/mcWVzCy1t3APBcz641LsMQQgjROEhyLEQDV2Yy8cLm7fbOEH2bBfP7pHGVanv/F3eKe1asxmSx0CckmNN5eZwvLbOXRoyKCGfemBGVOkhYFIWP9h/ihc3bMJgtaFQqzIqCVq3mk2GDeOySRW4ZxSXMXrfJ+lhAq7a2XLs7+toS4+PZOdy6ZAUmi4Vp0W2qnMm+kj9v2kZuWTldA5vwpJRUCCGEuIQkx0I0YLFZ2dy9/A9iz2cDMLtbZ94b1M/etkxRFP619wB/3rQNBegVHMS+jEyMFgtqrEls32bB/DpxLPqL+ganFRXzwKq1rLZt+6wCzIpCcy9PFowdycAqShyeWLOBnLJyAFw0an6ZOJbxF5V01ERmcQnjFi0lv9xAv9AQvhpVfY/lqmxMTOa7Y3GosO6+dy3bUgshhGgcJDkWogFSFIU5Bw7z503bKDebCXR345vRwxnbMsI+Jr+8nIdWrWPRqTOAdeHc7vQMwJrsWoARLcL4ZeJY+055FkXhu6NxPL9pK9mlZahVKiyKggLc3iaKuSOH4Ofqelk83x45xu+nzwLgptWyYuoEBoc3v6bXlF5czJhflxCfX0ArXx9+nzTumnoTG8xmnrRtLf14l470Dgm+pucXQgjROEhyLEQDk15czEOr1rEyPgGAsZEt+Hr0cIIuKqM4knWeW5es5FRuHlqViig/X/vsMlhLKR7sGM3cEUPs7d0OZ51nxtqNbEux1iFXJMaeOh1zhg3i/g7tqpzFXZeQxCOr1wPgptWw+a6p9AwOuqbXdCYvn5E//87Z/AIC3d1YPnUCTdzdruka/9yzn7icXALd3fjHgL7X9FghhBCNhyTHQjQQJouFzw4e4dVtO8kvN+Ci0fDPQf2Y2a1zpaT1u6PHeWLNRkpNJpq4uaIoEJeTa68ZBnijX29e6RODSqWioNzA69t38dH+Q5gVxT7Ooij0DgliwbhR1fYJ/uLQEZ5YsxEFa43x9rtvp2tQ02t6XQczsxj9yxIySkpo6ePNH7dNqnHLtgpn8/J5c+ceAP41eECVs9tCCCEESHIsRIOwLSWVGWs3cjjLOvvbIyiQb0cPp2PTC9sol5lMPL1+M1/YNv4I9fQgpagYsJY6lJpMaNVqvho1lPs7RKMoCj/FneS5DVtJK7aOU2OtLdap1bzUuwev9ImxzyxfrNxkZta6jXx5xNpL2FWjYfu0a0+MNyWlMPG3C63lVt46kRBPj2u6hqIozFq3iTKTmaHhzZl2jQsAhRBCNC6SHAtRj2UUl/DC5m3MOxoHgJ+rC//o35dHO3eo1KJsY2Iyj6/ZwMncPAB89Hp7Yuyu1VJiMuGt17No0liGhjdn9blEXtm6gz3pmYB11tdksdjrkD8eNqjaDTvi8/K5dclKDmRmAdbEe+99d9I+wP+aXttvp85w97I/KDebGdi8GUumjMfHxeWargGw6NQZVsYnoNeo+XT44GtawCeEEKLxkeRYiHqo1Gjis0NHeGPHbvLLDQA80qk9bw+4pVItbnZpKX/etI1vYo8DF2aI8w0GvPU6CgxGSkwmov39+N+EMeSUlTFo4SK2JFt3xKsooTBZLDT38uTfgwdwa5tW1SaYv586w/SVaygwGG3PZ60xvpbEWFEUPjt4hNnrN2NRFCZHteTH8aOuafFdhUKDgafXbwbghZge17wDnxBCiMZHkmMh6pFSo4kvDsfyzu59pBeXANYSik+GD6rUfUFRFBYcP8FzG7aSVVoKXJghBvB10ZNnS6qf7t6FKa1b8dzGLaxJSAIuLLarKKH4U89uvNynJ556fZVxJRcW8dyGLfx88rT9mE6tZsmU8de0+O58SSmPrl5v72zxcKf2tW65ZrZYeHjVOlKKimnl68NLvXte8zWEEEI0PpIcC1EPlJlM/PfwUd7etc9e/9vC24tX+8bwQIfoSiUUJ3NymbVukz3RddFoKDebKTGZ8HNxId9gIK/cQIiHO0906cjGpFT+Y9sgpKK3scW2MO+2NlG82a837aqZ+TWazXy0/xCvbd9NsdFo3zREBXw/dgTDW4TX+DX+EZ/AA6vWkl5cgk6t5h8D+vKnnt1qVQahKAqPr9nAzydPo1Or+XLkUNx08uNOCCHE1clvCyGcWEG5gW9ij/H+nv32GuFwLy9e7tOTBzpGV9qY42xePm/u2MN3x+KwKIo9US03m/HUafHQ6cgosc4idwtsQl6Zgde27wawj7XYrnVr61b87ZZedL5oe+lLbUlOYcbaTfYWcEHubvbrfzR0IHfWcEvoS3fwi/b3Y8G4UXS7xsV7FRRF4U8bt/LVkWOoVSp+HD/qmnsqCyGEaLwkORbCCR07n8MnBw/z3dE4iozW+t3mXp683LsnD3VqXykpTiwo5K2de/gm9jgmi8V+XAG0KhUhnh4kFRZRZDThotGgUsGBzPNgO2+ybeIBMKV1S17r24sugdUnpufyC3ht2y6+O2ZdBOjr4oKfqwvx+QWogLcH3MKs7l1q9DoPZWZxz/LVHM3OAWBm1068N6gf7jpdDd+py72xYzf/3ncQgK9GDePWNlG1vpYQQojGR5JjIZyEyWJh6Zl45hw4zPrEZPvx9gH+zO7WmQc7tsdFeyEpTi4s4p1de/nicCxGi3LZ9Vp4e5FQUEhSYVGlWWS4aKGdrab4tjZR/KVXd7peISk+mZPL27v28f2xOMy2memxLVuwMzWD+PwC/FxdWDB2JGMu2oWvOimFRby2fRffxB7HoihV7uBXGx/uO8jrttnw/wwdyAMdo6/rekIIIRofSY6FcCBFUdifkcUPx0/w04lTpNpKJ9QqFZOjWjKrW2cGh4Xa624VRWFdYhKfHYzl91NnsFxyPTXQ0teHcwWFJBQUXngeLpROgLVXcTNPD57o0pFHO3cg2KP63sGxWdn8Y9deFp44Za9FHtEijDZ+vnx2KBaLotAtsCm/ThxDZDWbgVTILy/n3d37+HDfIUptiwNvaxPFJ8MGEXjRDn618dWRozy7YQtg3cTkqRrOXgshhBAXk+RYCAc4kZPLj8dP8kPcSU7Zeg8DNHFz5bHOHXm8S0fCvb3sx3PLyph3NI5PDxzmVF7+ZddzUavxcXUhs6SU05ecr0iKKxLjQc1DmdmtE5OjWla5gQdYF+StT0zikwNH7J0jACa0iuSJLh348sgxPjl4BIAHOkTz6fDBV1zwVm4y89mhI7y1cw/ZpWUA9AsN4b2B/bglNOQK79TVKYrC3EOxzFi7EYA/9ezGK31iruuaQgghGi9JjoW4CSyKwp70DJafOceys+fsG2SAtffwpKhIpkW3ZVREuL2e2GA2s+ZcIgtPnOJ/J07bSyIu5qbVYLYolFssZNoWw0HlWWIFiPL1YVp0G+5u16bazhMACfkFfBN7nG+PHrfPPKuA29tG8Uz3LvxxLok7lv5BsdGITq3m42GDeKxzh2o7SmQUl/DVkaN8fiiWpMIiANr5+/HOwFuY2CryujfkSC0q4tE/1rMiPgGARzt34P1B/WSjDyGEELUmybEQN0heWTmrzyWy/Ow5VsYn2PsNg7Xmd2REOPdEt2VSVKS9f7DBbGb5mXgWxp3it9Nn7YvxLqayPd6kKJSaLk+YwZoQh3h4cFe71kyLbkOPoMBqE8Yig4FlZ8/x1ZFjrEtIsifVvi4u3BPdhse7dGRHajpTl6y091buExLMx8MGVtnDWFEUtqem8enBI/x84jRG2yLBYA93/n5Lbx7q1L5WfYsvfY6f4k4xc91GcsvK0WvUvNmvD8/HdJfEWAghxHWR5FiIOnK+pJStKalsSk5lc3IKBzPP22t0Abz1ekZFhDO2ZQTjWkbQ1LaTXUphEb+ePMOqc4ksPXOWYqPpis+jACbl8gV4YF28NzayBeNbRdI/NKRS/+OLpRQWsezsOZacPsu6xORKs9LDwpvzcKcOTGoVybqkZO5cuorjObkAtPL14e0BfbmtTdRlSWhGcQmLTp1h7qFYDmWdtx/vHRLEjK6duKNt61rtcneprJJSZqzdyC+2DUe6BzXluzEj6NAk4LqvLYQQQkhyLEQtGM1mjmXnsC8jiz3pGWxJTrW3I7tYtL8f42zJcL/QEHQaDQXlBjYlp7AyPoHlZ+JJtJUb1IaLRs2w8DDGtoxgbGSLahfEGcxm9mVksjYhiSWn49mbkVnpfEsfb+6JbsuDtt7J844ep8t3P9rrl/1dXflb3xie7NqpUhu5M3n5/HbqDL+dOsuO1DT7rLObVsu06DY82aUTPYIDa/36LlZmMvHj8ZO8uGU7mSWlaNVqXunTk7/27llt7bQQQghxrSQ5FuIqigwGjmfnEns+m30ZmezNyORQ1nnKqihp6BDgz8DmoQwMa8aA0GYEe7hzNDuHHalpfHLwMDtS0+2bedSGq0ZDv9AQBoc1Z2DzZvQKCapyNrbYYGRnWjqbk1PYkpzGzrR0e3cIsJZm9A4JZmJUJBNbRRLl68OK+ARmr9/MyvgE+4y3p07HjK6deKl3T3xdXSg2GNmSnMrGpBQWnz7LEdsGIBViggO5u10bHugYjZ+ra61f58VSi4r47GAscw/F2ktT2gf4892YEXWWeAshhBAVJDkWAmsNa0ZJCWfy8jmVm8/R89kcy87haHZOpZZoF/PW6+kRFEiPoKb0Cw2hY5MA0otL2J6SyrdHjvP8xq2kFZdUKq24Vr4uero2bcroyHCGhDenW2DTy2ZJ88vLOZR5ngOZWRzMPM/BrCxiz+dU2hAErJ0wBjRvZp/JVhRYl5jEe7v3X1YT3T80hIc6tmdoeHMOZZ3nrZ172JKcyv7MrErX1ahUDA4LZUrrVkyKaklzL89av9ZL7UxN56P9h/j55Gn7c4Z5eTKrW2ee6t6lTko0hBBCiEupFOU6fnPfQIcPH+bjjz/m4MGDGI1GoqKimD59OhMmTKjxNSwWCz/88AMLFy4kISEBd3d3evfuzbPPPktERMQ1xVNSUsL06dOZN28e7u7X14/1RlIsFswn4lDyclH5+qFp2w7VdS5+aggURSGrpJSkwiKSCq0bYyQUFHImL58zefmczS+guIrFbxWC3N1pH+BPpyb++Lu6UmQwWBPpvHzSikvIKy/HfJ3/K7loNDT39OCW0BBubd2KgWGh9tlXRVFIKy7mZE4eJ3OtXydycjmanUN8fkGV1wvz8mRg81AGNG/GwObNCHB1ZU96BmsTk1lzLvGyMpAmbq70axZCsIcHKUVFHM7KJrHw8j8MKq47MiKM8S0j8XermxniQoOBTUkprElIYvW5ROJsdc4AA5o346luXZjcuuV1L+YTQgghrsQpk+Ndu3bx8MMPo9PpGDduHF5eXqxevZrk5GSeffZZnnjiiRpd59VXX+V///sfUVFRDBo0iOzsbFasWIGLiws//fQTUVE131a2PiTHxj27KZs/DyXnQtKj8vfH9d7p6GJ6OTCyG0NRFIqMRs6XlJJdVkZmSSnpxSWkFxfbbktILykhtaiY5MKiKluhXUwFBLi54qnToVapMFoslJpMlBpNlJvN1S6Cqw13rZZIH2+6BzVleHgYw8PDMShmUoqKSCwoIrGgkMTCQvvt2byCKjtXVAj38qJbUBO6Nm1Kp6YB+Lm6kFVSyqGs8xzMPM+hrPP2DUYu5uOiR6tSU2Aw2LtKXKqdvx8DmlvLRAY2b0YLH+86eQ+ySko5ej6bLSmprElIYkdqeqVZab1GzbR2bZndvTPdg6R8QgghxM3hdMmxyWRizJgxpKens3DhQtq3bw9AUVERd911F/Hx8SxfvvyqM787d+5k+vTp9OzZk2+++Qa9rVXWjh07ePDBB+nZsyfz58+vcVzOnhwb9+ym9KN/V3ve7alnnS5BNlksFBuNFBqMFBoMFBgM1ttyA4UGI/kGA7llZeSVG8grKyevvJzcsnJyysrILisjq6Skym2Tr0TF5Zti3EieOh1N3FwJcncn2MMdP1cX1Co1+eXlZJSUkFFSSnpxMYWG6hPfCmqVighvLyJ9vAnx9MDPxQWtWk2J0UhyUTGJBYWkFhWTU1ZWq9fmrtXSsUkAXQKb0LlJAJ2bNrEl2rWfGS42GEkpKiKlqNg+0330fA6x57MrlXFUaOnjzciIcEa0CGNoeBi+ri61fm4hhBCiNpyuaG/nzp0kJiYydepUe2IM4OnpyYwZM3j22WdZtGgRzz333BWv8/PPPwPwzDPP2BNjgL59+9K/f3+2bNlCfHw8kZGRN+aF3ESKxULZ/HlXHFM6fx7lnbpgUakwWSzWL8WCyaJgtN03mi0YLRYMFjMGk5lys5kys5kyk8n6ZTZTajRTZjFRbjJTYjRRZjZRajRTbDJSajJRYjBRbDJSbDRZZ11N1llXg9mCwWzGYDHbnl+5Kcnppeo6KdaoVGhUKlQqFQoKRrOl0vWLjEaKjEbOVVO3fDG1SoWrRoNeo0ajUqMCLChYFOu/kcFs4Wx+AWerKaOoCQ+djpY+3rTy9bnsK8Lb67LWbxZFocRopMRoothopMRksn+fV37hD5bcsnJyy8vJLSsjvbiElKJiUoqKyC83XDGeSB9vugc2ZXiLMEZEhNPqKttPCyGEEDea0yXHu3fvBqB///6XnevXr1+lMVeya9cu3N3d6d69+2XnKpLjPXv2VJscGwwGDIYLv9hLbbNcPh/NxeRkC4H6F+WzPOfyNmKV5OQw5p332eopyUddMivKddcaV7AoijX5vHKb48tUbAqi16jRazS4arW4ajS4aDToNRp0GjV6tQatWoVapcJkUUgtKiaxsJA1CYmYLAomW/JdbvsDptz2x1F1pRbXwlOnI9TLg5Y+PnQI8KdDkwA6NvEn2t8fD73uuq8vhBBC1CXnyvKAc+fOAdCiRYvLzvn4+ODn50dCQsIVr1FSUkJWVhZt2rRBU0X/04qSjIrnqsrcuXOZM2eO/b5araZjx45XfwEOEGS88uzctY4T9UvFpiAmk5kSkxmuMltbW65aDe5aHR46Le46LT56F/xcrV++LrbvXVwJdHcj1MuDUE9PQj098XbRX/3iQgghhJNwuuS4qMi6IYKXl1eV5z09PUlPT7/iNQptK+w9PatuK1VxvOK5qvL444/z4IMP2u+XlpYyY8aMKz6vo2ToapZ8ZOr09prbi6kqfaOqfKyK7yu6X1Rcq2KnNOv3oEJlvVWpbGNs51UV17joOS4ez4XvAdTWk5c9B7Yx6ou+rxhTcau+9L6q4jEXYlHZIlHbLmB9jNo+Tq1SoVZdeLwaFRq1yl5KobZ/r0anVqNVq9DZZmi1ajV6tRq9VmObtVWjUVe8cirtLlf5/b38vbrwfeXXdPFrVdtKO9T246BRqa1xqqxxV7wGnUaNVq1Gq7LGqbXFrrfNNlfMOLtoNOjVatx1Wty02mp32xNCCCEaEqdLjp2FXq+vVKustiUG+U897nQL8hSLhaJnZ1fqUnEplX8Am/72V2nrJoQQQghxBU6XKVXM6hZW0V8VrLO91c0qV6g4X93McMXx6maW6xuVWo3rvdOvOMb13vslMRZCCCGEuAqny5Yq6oGrqivOz88nNze3ynrki7m7u9O0aVOSk5MxV9HbtqLW+Fo3AnFmupheuD31LCp//0rHVf4BTtnGTQghhBDCGTldWUVMTAxz585l69atjBs3rtK5bdu2AdCr19UTvV69erF8+XL2799PTExMpXNbt261P1dDoovphbZHT9khTwghhBCilpwua+rbty9hYWEsW7aM48eP248XFRXx6aefotVqmTJliv14Tk4OZ86cIeeSets77rgDgA8//LBSS7YdO3awdetWYmJiGkSP40up1Gq00e3R9e2HNrq9JMZCCCGEENfA6WaOtVotb731Fo888gjTpk1j/PjxeHp62rePfuaZZyoltQsWLGDOnDnMmjWL2bNn24/36dOH22+/nZ9//pkpU6ZU2j7a09OT119/3QGvTgghhBBCODOnS47Bmtj+8MMPfPTRR6xcuRKj0UhUVBRPP/00EydOrPF13njjDdq2bcvChQv5/vvvcXd3Z8iQITz77LMNctZYCCGEEEJcH5Wi1NH2Xg1cSUkJ06dPZ968eU7Xyk0IIYQQQtQNKUgVQgghhBDCRpJjIYQQQgghbCQ5FkIIIYQQwkaSYyGEEEIIIWwkORZCCCGEEMJGkmMhhBBCCCFsnLLPsTOq6HhXWlrq4EiEEEIIIRo+Nzc3VCrVTX9eSY5rqKCgAIAnnnjCwZEIIYQQQjR8//3vf/H19b3pzyvJcQ15eHhw7NgxNmzYgKenp6PDcXrFxcUMHDiQzZs34+Hh4ehwnJq8V9dG3q9rI+9Xzcl7dW3k/ao5ea+uTcX7pdFoHPL8khzXkFqtxmQy4e7uLjvk1YDFYsFiseDm5ibv11XIe3Vt5P26NvJ+1Zy8V9dG3q+ak/fq2lS8X44oqQBZkCeEEEIIIYSdJMdCCCGEEELYSHJcQ3q9nlmzZqHX6x0dSr0g71fNyXt1beT9ujbyftWcvFfXRt6vmpP36to4+v1SKRU9yoQQQgghhGjkZOZYCCGEEEIIG0mOhRBCCCGEsJHkWAghhBBCCBtJjoUQQgghhLCR5FgIIYQQQggbSY5rSFEUSkpKkOYeQgghhBANlyTHNVRaWsr06dMpLS11dChCCCGEEOIGkeRYCCGEEEIIG0mOhRBCCCGEsJHkWAghhBBCCBtJjoUQQgghhLCR5FgIIYQQQggbSY6FEEIIIYSwkeRYCCGEEEIIG0mOhRBCCCGEsJHkWAghhBBCCBtJjoUQQgghhLDROjqAqixevJh9+/YRGxvLyZMnMRqNvP3220ydOvWarmOxWPjhhx9YuHAhCQkJuLu707t3b5599lkiIiJuTPBCCCGEEKLecsrk+D//+Q8pKSn4+fkRGBhISkpKra7z2muv8b///Y+oqCjuvfdesrOzWbFiBdu2beOnn34iKiqqjiMXQgghRGOkWCyYT8Sh5OWi8vVD07YdKrV8QF8fOWVy/NZbb9GiRQtCQ0P54osv+OCDD675Gjt37uR///sfPXv25JtvvkGv1wMwefJkHnzwQV5//XXmz59f16ELIYQQopEx7tlN2fx5KDk59mMqf39c752OLqaXAyMTteGUf9LccssthIaGXtc1fv75ZwCeeeYZe2IM0LdvX/r378+ePXuIj4+/rucQQgghRONm3LOb0o/+XSkxBlBycij96N8Y9+x2UGSitpxy5rgu7Nq1C3d3d7p3737Zuf79+7Nlyxb27NlDZGSkA6ITQghxrcwWC+dLyzCYzRgtFuuX2XZrMdPUzY1IXx8Ayk1mNiWnYLZYsCgKFtvjLYqCRYEW3l7EhAQBYDCbWRh3ynZOQQEUFBTFetvSx4dhLcIAUBSFuYdird/b4lIUxR5jC28vxrW68Hvl84NHMFkslV5HxejmXp5Mad3KfvyLQ7GUmc1VvvYgdzfubNfGfv/rI8coNBiqHBvg5sq97dvZ73939Di5ZeVVjvXW63mwU3v7/R+PnySzpKTKsW5aLY916Wi///OJU6QWFVc5VqdWM6NbZ/v930+dIaGgsMqxAE/36Gr/fvmZeE7n5Vc7dma3zmht5Qp/xCcQl5Nb7djHOnfETWdNddYnJnEkK7vasQ92bI+3i3UybUtyCvszsqode1/7dvi7uaJYLBTM+xotoKpinAIUfz8Pnx49UanV7E3PYFtKWrXXva1NFKFengAcysxiY1L1ZaWToloS4eMNwNHz2axNSKp27NiWEbT28wXgZE4uK+MTqh07MiKc6AB/AOLz8llypvqJxCHhzenctAkASQWFLDp1ptqx/UOb0SM4EID04mIWxp2qdmyfZsH0Dgmu9vyN1iCT45KSErKysmjTpg0ajeay8xWL8c6dO1ftNQwGA4aLfvCUlpbWdZhCCNGgKYpCblk5acXFZJSUkF1aRk5ZOd0Dm9oT0zN5+Ty5ZgPFRhPFRiMlJtut0US52cxzPbvyVv++AJzNL6DNV99X+3yzunXm42GDAMgpK2PUL4urHftgx2h7DGUmM/evXFPt2DvaRl1IjoEn126sduz4lhGVkuNnN26hzFR1wjskrHml5PilLTvIKSurcmyv4KBKyfHr23eRVFhU5dgOAf6VkuO3d+2rNoGM9PGulBx/sPcA+zIyqxwb6O5WKTn++MBhtiSnVjnWQ6erlBzPPRTLqnOJVY5VUTk5/ib2OL9eIcl6rHNHe3K84PgJvj92otqx90S3tSfHP584zee2P2yqMqV1K3tyvPh0PB/sPVDt2JER4fi7uWI+EYcuv/pEXgWocnMwn4hDG92edQnJvLhle7XjuwU2tSfHW5JTeWbDlmrHtvHztSfHu9Iyrjg21NPTnhwfyMy64tg5Qwfh7+qKyWJhQ2LyFcf+qWdXJrRqiVmxsDc9kxc2V//a7mrbmlGRLTArFk7n5vHO7v3Vjh0W3py1d0yp9vyN1iCT48JC61+nnp6eVZ6vOF5UVPUPFoC5c+cyZ84c+321Wk3Hjh2rHS+EEI2NoiikF5dwMjePUE8Poip++WZkMXXxCtKKiymvYib0b31jKs3arrnCjFep0WT/3sU22aHXqNGpNejUauuXxnrr5+JSaWyXpk3QqFVoVCrUl3xVJApgneUcGRGOGlDZzoMtsVGp6BEUWCmmKa1b2s6r7LOFKttjegQ1rTT21tZRGC1VJ8cdAgIq3Z/auiVFRmOVY1vZZsQrTGwVSXY1iXTzS373jWsZQbfAplWODXR3q3R/VEQ4bS56by5WkThWGB4edtlzVXC5ZGJqcFhz/FxdqxyrumTKtX/zZuirmNiqoFFfeECfkGBMFqXasS7aC9eJCQ4iv7zq2XYAd+2FlKhbYFPuvuiPkUt528o1lbzqZ60vdjr+HOe9fDFYzAxqHopFsWBRwGz7tKLia/GZs2xOTsVoMROXnUtbP18UqDSm4tOPd3bv46P9hzBaLGSVlBLg5opiO2dRFOv3tk9AHl+znifWbsBksVBuMqNWqVBsn5Jcatb6Tcxav6lGr+uDvQf5YO/BGo396cQpfjpR/WzxxdYlJtdo3I2iUi7+PMgJVSzIu5ZWbhkZGQwcOJDu3bvz448/XnZ+79693HPPPdx555288cYbVV6jqpnjGTNmMG/ePNzd3Wv3YoQQop5SFIUzeflsTk5la0oqh7OyOZmbS6HBmsy91rcXr/frDVg/tm379YUFz/6urgS5uxHg5kqAmyu3t2nNPe3bAlBoMLD49Fk8dDrctVo8dDo8dDrctBpctVr8XF3wsSW9Fb+uVJdmU0JUQVEUDGYLxUaj/eviTyaKjUZKTWZKTNb7JSYTJUYTpRfdXvxVZjZTZjJRZjLb73fJzuKH49XPMFcY16oDWz19rjrOmejUajRqFVqV7VatRqO6cKuxH7d9r1JVGq+x39q+7I+z/gGquehxFffV2G5VKr4cNcxhr71Bzhx7eXkB1c8MVxyvbmYZQK/XV1rIp5Z2LEKIRsZgNttn8I6cz6bLvMsnG9QqFZE+3rhdNOsW4ePN9mm3EeLhQbCHO67a6n/VeOn1lUoArkSS4oZPURRKTSbyysvJLzdQYDBYb8sN5BvKKbAdKzIYKTQaKTQYKDRYb4sMRoqMti/b95fWe9e1VJ0rKTo9IUZDlR0OLEC63oXk4FBa67S4aDToNWpcNBrb9xr0arX1VqNGr7bdXnROZztuvVWj01z0qclFn5xcuK9Bq1bZ7l/4Xmv7uvC9yn5eo1JfSIbVavunJzea2WIhr7yc3LJy+21uWTl+ri5Xf/AN1CCTY3d3d5o2bUpycjJms/myuuOKWmPZCEQIISpLKSzix7iTzD92gr7NgvlsxBDAWsca6O5Gaz9fBjZvRq/gINr6+9HK1+eyj8D1Gg19m4U4InzhJMpNZrLLSskuLbN+lZWRU1ZmT37s35eXk2dLjKxfhhuS0OrUatunElrcK261Otx1Wty1Wtut9b6bVoubVmO7vfDletExV60GV4311jO2M6qv5qJw+aI8NdDqiRnEN4J2boqikFZcTHZpGedLyzhfWkpWSan9+9Z+vszu3gWwln00/eTLamvsh7cIY0RE+M0Mv5IGmRwD9OrVi+XLl7N//35iYmIqndu6dSvAZceFEKIxKig38OvJ08w/foINicn2OsSMkhI+GT7Y9pGnmpQnHrIvhBKNi8liIbOkhIziUtKLi8ksKSWzpJSs0lIyS0rIst2vSISqq52uKY1KhY+LC956Pd4uOvv3Xnqd7db6faVbnQ5PvR5PnQ5Pvc5+667VortCDfN1GzwYo4d7FX2OA3C99/560+dYURQKDUYMZjNNbLXoJouFf+zcS6HBOmNfaDDabq0z+v1CQ/hk+GDr44Hmn39TZR0zWBfZVSTHapWKiyuePXQ6/Fxd8HNxwc/VhS62DhiOUu+T45ycHHJzc/Hz88Pf399+/I477mD58uV8+OGHlTYB2bFjB1u3biUmJkbauAkhGr0XN2/jo/2HKTVdWPjWPzSEe9u347Y2rSp9vCqJccNjtlhILy4hpaiI1KJiUoqKSbV9pRQVkVZcQkZxCedLS6tNeqqjVqnwd3WhiZsb/q6u+Lu64O/qit9FtxUJka+rCz56662vix4Pna5eldHoYnqh7dGzXuyQV24y8/mhI6QUFZNcWERKUREpRcWkFRVTYjJxZ9vW/DRhNGD9I+X17buq/bdvetGCTrVKhb+bK2pUNHFzpYm7m/XWzXrbPsC/0mP33HsnXjodvq4uV1yA6QhOmRz//PPP7Nu3D4CTJ0/aj+3ebW2kPXz4cIYPHw7AggULmDNnDrNmzWL27Nn2a/Tp04fbb7+dn3/+mSlTpjBo0CD79tGenp68/vrrN/dFCSGEEzBbLJd0ZFBRajIR7e/Hve3bMi26rb09lKj/ig1GEgoKic/P51xBIQkFhSQVFpJUWERSQRGpxcU1LmNQq1QEursR7OFOoLs7ge5uBLq50dTd+hXo7l4pGfJxcblptavOQKVWo41uf/WBN4DFtmA2Pr+A+PwCEgoKSCwoIqmwkMSCIgY2b8a8sSMA0KpV/GnjVszV9GPIK7/QE1ulUjGrW2dcNBq89Hq8XWwz9To9Pi56Qi9Zu5U145Ea/1FzaQcWZ+KUyfG+ffv47bffKh3bv38/+/dbe+KFhobak+MreeONN2jbti0LFy7k+++/x93dnSFDhvDss8/KrLEQolEpM5mYc+Awcw4cZu6IIYyKbAHA7O6dGduyBf1Dm9WrmTphpSgKWSWlnM7L51RuHqfz8jmdl8fZvALOFRSQWXL1Hv0alYoQTw9CPT1o5ulBqKcnzTw9aObhQYindVFlsLs7AW6uaJxwJrSxyCkt40xevv3fONjDnUc7W1vMWhSF6K/nV5vwhuZ72L/XqNU83Kk9HjodoZ4ehHp52v7tPQl2d8dDr6v02I9svcNroqH8DHH6Vm7OoqSkhOnTp0srNyFEvXMoM4t7V6wh9rx1d7CLPzYV9YPBbOZUbh7Hs3OJy8nleE4OcTm5nMrNs7fTq463Xk+kjzcRPl608PYm3MuTMC8vwryttyEe7pL0OgmLothn2y2KwoMr11r/nfPyLtvlsF9oCFvvvs1+v+M3CwBrt5gW3l608PYi3NuLcC8vIny8aHaFDl2iMqecORZCCHH9zBYLH+w9wCtbd2K0WAh0d+MfA/oyrV1bR4cmqmFRFM7m5XM46zxHzmdzJCubI+ezOZOXX+2soAoI8/Iiys+H1n6+tPLxoZWvNxE+3kT6eOPr4tJgZvQaihKjkbicXI6ez+FodjZHz+dwLDuHcG8vNtxp3dNBrVKxMSmFxMIL22438/QgyteHVr4+l23sEvvgPTf1NTRkkhwLIUQDdC6/gOkr17DZtr3vxFaR/HfkUAI95JMvZ1FuMhN7Ppv9mZnsy8jiQEYWseezKbloceTFvPQ6ov39aefvR3SAH+38/Wjj50dLX+8r9pIWjmNRFDJLSgj2uFDWcMsPP7MzNb3KRW6Xdvl4e2BfXDUa6x89vj6463RVPErUNfm/SQghGqCNSSlsTk7FU6fjP0MH8mDHaJk9dCCLohCXncuOtDR2pWWwLyOTI1nZGKtYDOeq1dAhIIBOTQLo1NR626GJPyEeHvJv6KTKTWZO5+VxIieXE7l5xNnKX2LPZxPg5kri4w/ax3rodChAEzdXOgRY/207BPjTPsCf6Es6OkyLlk95HEGSYyGEaICmd2hHfH4+0ztE09KJV4U3VEUGAztS021faexMy6jUBaCCn6sLPYIC6RHUlO6BgXQJbEKUr4/UADspo9nMydw8zuYXMKHVhYX9o35ZzKbklCofo5SWUWgw4GVrKfvZ8MF46/XyKY4Tk+RYCCEaAEVR+OrIMe5s1xovvR6VSsXf+/VxdFiNRpHBwLaUNDYmpbAxKYU96RmX1Qi7a7XEBAfRp1kQMcFBdA9sSoSPt8wGOymTxULs+Wx2pWWwKy2dvemZxOXkYrRYUAFFTz9hL3No4+/Lgcws2vr70tbfj7Z+frT196VTkwBa+/lW+mMnys/XMS9I1Jgkx0II0QC8uWMPr23fxdexx9h059QbuyOYwGyxsCstg1XxCaxNTGJPeuZl/YJbeHvRLzSEviHB9G0WQuemAfLv4sRyy8oqLV58aNVavj924rJxXnodHZsEcL60jHBbcvzR0IHMHTFE/tBpICQ5FkKIeu7tXXt5bfsuAG5vEyUJ2A2SVlTMH+cSWRl/jjUJSZe11mrh7cWQsOYMDgtlcFgoLWQzFaeWW1bGluRUNialsCEpmUOZ54l76F7a+PsB0CMokMWn4+kVEkTvkCB6BQfRuWkTWnh7XZYEy4LIhkX+NYUQoh77194D/HXLDgDeHtCXZ3t2c3BEDcvx7Bx+O3WGRafOsi8js9I5XxcXRkaEMSqiBUPDm8vOgvXAnrQMPjt0hL3pmcSez76sY8TejEx7cvxEl07M7t6lUe3yJ6wkORZCiHpqzv5D/GnjVgD+fktvXuzd08ER1X+KorA/I4tFp86w6NQZ4nJyK53vGRTImMgWjI5sQa+QILSycM4pJRYUsjUllW0padzZtjUDw0IByCwp4ZvY4/Zxbf19GRzWnCFhoQwKC63Ucs1FK5/ANFaSHAshRD00L/Y4s9dvBuDlPj15tW+MgyOq307m5PL9sRMsOH6C+PwC+3GdWs3wFmFMbd2KCa0iCZIOA05HURSOZeewMSmFbSlpbE1JJamwyH7e39XVnhz3Dgnm1T4x9AwOJCY4iBBPj+ouKxoxSY6FEKIeah9g7Xs7LboNb/brIwuBaiGrpJSf4k4y/9gJdqdn2I+7a7WMiWzB1DatGNcyAh8XFwdGKa7mQGYWPb5fWOmYRqWiW2BT+jdvxogWYfbjTdzdeKO/dHERVybJsRBC1EMxIUEcmn43AW6ukhhfA7PFwh/nEpl7KJYV8Qn2DhMalYpREeHc274dk6IiZScyJ2SyWNiQmMyiU2fwcdHzzsB+AHQNbEorXx8ifbwZENqM/s1D6BUchKetr7AQ10qSYyGEqCeKDAbO5OXTJbApAE3d3RwcUf2RWVzCV7HH+OLQUc4VXCib6BkUyL3t23JXuzZSMuGEFEXhYOZ55h+L44e4k6QXlwDW3eX+r39fNGo1apWKEw/dKxuniDojybEQQtQDFkXh3hWrWX0uiR/GjWRy61aODsnpKYrC1pRUPj14hF9PnrFv1ezn6sIDHaJ5tHOHy7brFc7jy8NH+XDfQY5m59iP+bu6cmubVkyJallprCTGoi5JciyEEPXA37btZPHpeFw0mkor6sXlLIrC4tNneXf3PnalXagl7hUcxJNdO3Fn29a46eTXn7Ox2HYUrGiddiYvn6PZObhoNExoFcm97dsyJrIFeunjLW4w+ekghBBO7ofjJ/i/nXsB+O/IofRpFuzgiJyTwWxm/rETvL9nv70Fm4tGw73t2zKjaye6BwU6OEJRlfMlpXwde4zPD8Xy+YghjIwIB+DhTu1p5evDbW2i8HWVRZHi5pHkWAghnNietAwe/mMdAH+J6c59Hdo5OCLnU2I08vmhWP619wApRcUA+Ljomdm1M0917yK1xE4oraiYjUkpLDsbzy8nT2MwW0tevok9Zk+Oo/x8ifLzdWCUorGS5FgIIZxUscHI3cv/oMxkZlzLCP4xoK+jQ3IqRrOZr44c440de0grtibFIR4ePNezK4917oi3i3QrcDblJjPdvvuR41VsrvJk107c1a61gyIT4gJJjoUQwkl9cvAwZ/Lyae7lyfyxI2XRkY1FUfjfiVO8snUnZ/LyAYjw9ublPj25r3072dnMSSiKwpqEJI5n5/B0j66Addc5nUaNCmsLtiFhodzVrg0xIUEOjVWIi0lyLIQQTuq5nt0wWSz0DA6SmkusydYf5xJ5act2DmaeByDQ3Y1X+8TwaOeOkhQ7iWKDke+PxfHR/kMcz8lFr1FXapW3YOwoQr088HN1dXCkQlRNkmMhhHBSWrWav/aRbaEBTufmMXvdJladSwTAW6/nzzHdeaZHF9nswUmcyy/g80NH+OLwUXLLygHw0ut4sGP7SuM6Ng1wRHhC1Jgkx0II4WSWnD7LqIgWMhMKlBpNvLN7L+/u3k+52Yxeo2ZW18681LsnTWQTFKfxv7hT3LVsFYrtfksfb57q3oUHO7aX2m9R70hyLIQQTmR9YhKTfl9OxyYB7Lrn9ka9jfGyM/E8tX4z8fnWHe1GtAhjzrBBtPH3c3Bk4kxePvnl5fb2eEPCm6PXaBjQvBmzu3VmXMsIqZEX9ZYkx0II4SQKDQYeWmVt29Y/NKTRJsaJBYXMWreJpWfiAWju5cm/Bw/g1jatUNk2iBCOsSstnf/buZelZ+IZ0LwZm++6FbBuZZ78+IMymy8aBEmOhRDCSfxl0zYSCgqJ8PbmvUH9HB3OTacoCt8fi2P2us0UGAxo1Wqe69GVV/vGSF2xg21OSuGtnXtYk5AEgApw12opM5lw1VpTCUmMRUMhybEQQjiBNecS+fxQLABfjx6GVyNLBs+XlPL4mg0sOnUGgD4hwXw1ahjtm/g7OLLGbVtKKi9t2cGW5FTAukj0vvZtebFXDylvEQ2WJMdCCOFg5SYzT6zZAMCMrp0YEt7cwRHdXMvOxPPIH+vJKClBq1bz91t68ZdePdBKzarDJRQUsiU5Fb1GzUMd2/NCrx5E+Hg7OiwhbihJjoUQwsE+3HeQs/kFhHh48M7AWxwdzk1TaDDw3IYtfHnkGADtA/yZP3Yk3YKaOjiyxmtXWjrnS0oZ1yoSgDvatuZkTh6PdO5Acy9PB0cnxM0hybEQQjjYpKhINiencGe71o2mnCIuO4cpi1cQl5OLCni2R1f+b0Bfe/2quLkOZ53nla07WXomnmaeHpwOD8NNp0WrVvN6v96ODk+Im0p+CgkhhIO1C/Bn+a0TURTl6oMbgN9OneH+FWsoMhoJ9fRg/tiRDG5kpSTO4lx+AX/dsoMf404CoFapGB3RglKTCTedpAiicZL/8oUQwkGMZjM6zYWNPhp6mzKzxcIrW3fyzu59AAxqHsrCCaPt2wqLmye/vJx/7NzLf/YfotxsBuDOtq35e7/etJWFdqKRk+RYCCEcQFEUhv/8O239/fhH/74Nvg1Wdmkpdy/7w94K7LkeXXl3UD9ZdOcgx7JzeG/PfgCGhjfnn4P6S623EDaSHAshhAMsPHGKzcmp7E3P5LW+vRwdzg11ICOLKYuXk1BQiLtWy1ejh3FXuzaODqtRURSFU7l59vZrfZuF8EKv7vQPbca4lhEN/lMLIa6FJMdCCHGTlRiN/GXTNgBe7N2D0AbcBWD1uUSmLl5BsdFIK18ffps0lk5Nmzg6rEblUGYWf9q4lW2paZx46D7Cvb0AeGdg49toRoiakORYCCFusn/uOUBSYRHhXl4837O7o8O5YRYcO8EDq9ZislgYFt6cXyaOxdfVxdFhNRrpxcW8unUnXx05hgLoNWp2pqbbk2MhRNUkORZCiJsoqaDQviDtvUG3NNiOAP/ae4A/bdwKwN3t2vDtmOHoL1p8KG6cUqOJf+87wNu79lFkNAJwR9so3hlwC5G+Pg6OTgjn1zB/KgshhJN6acsOSk0m+oeGcEfb1o4Op85ZFIW/bNrGB3sPAPBMj658MLg/aqlpvSkMZjNdv/uRk7l5APQKDuLfQwZwS2iIYwMToh6R5FgIIW6SvLJylp6JB+DDIQMb3CIoo9nMQ3+sY/6xEwC8O/AW/hzTvcG9Tmem12i4q11rvo49zjsDbuHu6Dbyh4kQ10iSYyGEuEl8XV0499h0/jiXSI/gQEeHU6fKTWamLl7OivgENCoVX48exv0doh0dVoNnURS+OBRLTHCQ/b+pv/aO4S8xPfDQ6xwcnRD1kyTHQghxE/m5uja4NmYGs5nbl65kRXwCblotv04cw5iWEY4Oq8E7ej6bx1ZvYHtqGt0Cm7L73jvQqtW4aDW4IPXdQtSWJMdCCHETpBcXE+Tu3uBKDEwWC/csX83SM/G4ajUsmzqeoeFhjg6rQSsxGvm/nXt5f89+jBYLnjodD3SMpmH9lyWE40hyLIQQN5jBbKb7dwsJ9/Zk4fjRtPDxdnRIdcJssTB95Rp+OXkavUbNb5PGSWJ8g62KT2DG2o3E5xcAMLFVJHOGDSJM2rMJUWckORZCiBvsp7iTpBUXAxDi6eHgaOqGRVF4bPUGfjh+Eq1azf8mjGF0ZAtHh9WgrT6XyJhflwDQ3MuTj4cOZHLrVg6OSoiGR5JjIYS4gRRFsbc1m929c4Po9asoCrPWbuLr2GOoVSp+GDeSSVEtHR1Wgze8RRgDmjcjJiiQv/frjade7+iQhGiQJDkWQogbaF1iEoezsnHXanm8c0dHh3PdFEXhz5u28dmhI6iAeWOGc3sD7NfsDLJLS3lzxx7eHmDdLEatUrH+jilo1WpHhyZEgybJsRBC3EAf7LHOGj/UqT3+bq4Ojub6zTlw2D4T/t9RQ7m3fTsHR9Qw7UnL4LYlK0ksLKTMbObzEUMAJDEW4iaQ5FgIIW6Qo+ezWXUuEbVKxTM9ujo6nOu28uw5ntmwBYD3Bvbj4U4dHBxRw6MoCl8cPspT6zdhMFto5evDk13q/ycOQtQnkhwLIcQN8m3scQCmRLWkla+Pg6O5PrFZ2dy5bBUWReHhTu15Pqabo0NqcEqMRp5cs5HvjsUBMDmqJd+MHo6vq4uDIxOicZHkWAghbpB3Bt5Cn2bB9T4xziguYfxvSyk0GBkcFsqnwwc3uH7NjnY2L5/Jvy/nyPls1CoV7wy4hedjusn7LIQDSHIshBA3iEat5tY2UY4O47qUGk1M/n05CQWFtPbz5deJYxtExw1n46HTkWrbKOan8aMYHN7c0SEJ0WhJciyEEHXMZLEA9X/xlKIoPPTHWnampePn6sKyKeMbxKJCZ5GQX2DfECbIw52fJ4yhnb9fg+mFLUR95bQ/uQ8fPsyjjz5KTEwMXbt25bbbbmPp0qXXdI2CggL+85//MGHCBLp160bv3r259dZbmT9/PuXl5TcociFEY/e/E6eI+OJbPt5/yNGhXJc3duzmp7hTaNVqfp04ljb+fo4OqUEwms28sX03rb/6nkUnT9uPDwlvLomxEE7AKWeOd+3axcMPP4xOp2PcuHF4eXmxevVqnn/+eVJSUnjiiSeueo2CggKmTp1KUlISPXr04K677sJgMLB582befPNN1qxZwzfffIO6ns/sCCGczxeHjpJSVExuWf39I3zZmXhe374bgM9HDGaIfMxfJ/ZnZPLQqnUcyjoPwKpziUyt56U3QjQ0Tpccm0wmXnnlFVQqFQsWLKB9+/YAzJw5k7vuuouPP/6Y0aNHExERccXrLFy4kKSkJB544AFeeukl+3GDwcC0adPYuXMn+/btIyYm5ka+HCFEI3MiJ5dNySmoVSoe6tTe0eHUSnJhEdNXrgXgqe5dpGVbHSg1mnhjx27e37Mfs6IQ4ObKnGGDuFM2UBHC6TjdtOnOnTtJTExk/Pjx9sQYwNPTkxkzZmAymVi0aNFVr5OUlATAoEGDKh3X6/X069cPgOzs7DqMXAgh4L+HjwIwrmUEzb08HRzNtTNZLExb/gc5ZWX0CArkvYH9HB1SvbcjNY2u3/3IO7v3YVYU7mgbxbEH7uGudm2kG4UQTsjpkuPdu60f4/Xv3/+ycxVJbcWYK2nd2vrX+JYtWyodNxqNbN++HVdXV7p1kz6dQoi6U24y8+1Ra2/jxzrXz9nWv2/fzZbkVLz0OhZOGI2LVjpTXK+CcgMnc/MI8fDg98njWDhhDIEe7o4OSwhRDacrqzh37hwALVq0uOycj48Pfn5+JCQkXPU6t99+O4sXL+brr78mNjaWjh07YjQa2bJlC/n5+XzwwQcEBQVV+3iDwYDBYLDfLy0tvfYXI4RoVH4/fYbs0jKae3kyOvLyn2HObl1CEv+3cw8AX4wcWu/7MztSucls/8NiVGQLvh41jCmtW8mGHkLUA06XHBcVFQHg5eVV5XlPT0/S09Oveh1XV1e+//57/va3v7FkyRL7bLNareaee+6he/fuV3z83LlzmTNnjv2+Wq2mY0fZwlMIUb0vbCUVD3dsX+/auGUUl3DvitUowCOd2nNXuzaODqne+uXEaf68aRvr75hMpO0PjAfraf25EI1RnSbHSUlJ7NixAxcXF0aMGIG7u+M+NsrJyWHGjBnk5OTwxRdf0L17d8rLy1m/fj3vvPMOGzdu5Ndff8XHp+qZkccff5wHH3zQfr+0tJQZM2bcrPCFEPXQuwNv4YvDR+vdQjyLonD/yjWkF5fQIcCf/wwd6OiQ6q25h2J5cs0GFGDOgcN8MGSAo0MSQlyjWiXHX3zxBb/88gs///yzPbnctWsXTzzxBGVlZQB89tlnLFy4sNrkszqentYFLIWFhVWeLyoqqnZW+WLvvPMOBw4cYPHixbRr1w6wzkbfcccdmM1mXn/9debNm8dTTz1V5eP1ej16vd5+X1q+CSGupmdwED2Dqy/Xclbv7d7H6nOJuGm1LJwwGnedztEh1TuKovD2rr28vHUnAI936ch7g2QxoxD1Ua0yvvXr1xMUFFQp8X3vvfewWCzMnj2bu+++m3PnzvHdd99d87UrWrRVVVecn59Pbm5ulfXIl9q0aRO+vr72xPhiffr0AeDo0aPXHJ8QQjQke9IyeMWW0H08bCAdmgQ4OKL6x6Io/GnjVnti/EqfGD4bPhiNTKoIUS/V6v/cpKQkoqIuNC1PS0vj6NGjTJs2jRkzZvC3v/2Nvn37snr16mu+dkXf4a1bt152btu2bQD06tXrqtcxGAwUFRVVWlRXIScnB6DSzLAQQtTW4tNneXjVOvalZzo6lGtiMJt5+I919vZiD3WsX+UgzsBoNvPAyjX8e99BAP49ZABv9u8jLdqEqMdqlRwXFBTg7e1tv79v3z5UKhVDhw61H2vfvj2pqanXfO2+ffsSFhbGsmXLOH78uP14UVERn376KVqtlilTptiP5+TkcObMGXvCW6F79+6YTCY+/fTTSscNBoP9WO/eva85PiGEuNScA4f5OvYYv58+6+hQrsm7u/dx5Hw2TdxcmTNssCR0tVBmNnM0OweNSsV3Y0bwTI+ujg5JCHGdalVz3KRJE1JSUuz3t23bhl6vp0uXLvZj5eXltfpBq9Vqeeutt3jkkUeYNm0a48ePx9PTk9WrV5OcnMwzzzxDZGSkffyCBQuYM2cOs2bNYvbs2fbjzz//PAcOHOCzzz5j27Zt9gV5W7duJSkpiQ4dOnD77bfX5uULIYTdmbx81iYkoQIerkcL8Y6dz+HNHda2bR8NHURTdzcHR1Q/een1rLp1EgcysxgZEe7ocIQQdaBWyXGnTp1Yt24dGzduxMXFhVWrVtGrV69KZQrJyckEBgbWKqg+ffrwww8/8NFHH7Fy5UqMRiNRUVE8/fTTTJw4sUbXiI6OZtGiRcydO5edO3eyYMECNBoN4eHhzJ49m4cffhgXF+k3KYS4Pl/a2reNiggnwsf7KqOdg9li4eE/1mG0WBjfMoK72skWxtei3GRmTUIi41tZJ2qaurtJYixEA6JSFEW51gcdPXqUu+++G6PRaL2ISsV3331Hz549AWsJxIABAxg9ejRvv/123UbsICUlJUyfPp158+Y5tEWdEMJ5GMxmwud+S0ZJCYsmjWVK61aODqlGPtx3kGc3bMFbr+fog/fUy22uHaXcZObWJStYfvYcnw0fzBNdOzk6JCFEHavVzHGHDh343//+x+LFiwEYNWoUXbt2tZ+Pi4vjlltuYfz48XUSpBBCOKOf4k6SUVJCiIcH41tGODqcGjmbl8/LW3YA8P6gfpIYX4Myk4lbF69gRXwCblotrf18HR2SEOIGqPUmIO3atauyTRpAz5497bPIQgjRECmKwj/3HADgqe6d0Wk0Do7o6hRF4bHV6ykxmRgcFsojnTs4OqR6o8xkYuriFay0JcbLpo5naHiYo8MSQtwA0oRRCCFqwWixMC26Da39fHmiS/34aP2b2OOsS0zGVavhvyOHopbuFDViMJslMRaiEan1zLHBYGDt2rUcOXKEwsJCzGbzZWNUKhX/+Mc/ritAIYRwRnqNhhd79+SFXj3qRQu0tKJintu4BYA3+/UhSkoCasSiKNy/Yo09MV4+dQJDwps7OiwhxA1Uq+Q4JSWFhx56iMTERK60nk+SYyFEQ1cfEmOAl7ZsJ7/cQM+gQOnFew1UQFt/X3RqNb9NGiuJsRCNQK2S47fffpuEhAQmTZrErbfeSnBwMJp6UG8nhBB14e/bd9GpSQCTolrWiy2C96RlMO9oHACfDh+Mth7E7CxUKhV/79eHe9u3kwV4QjQStUqOd+7cSd++fXn33XfrOh4hhHBqZ/PyeWPHHiyKQuwD0+jQJMDRIV2Roig8s8FaTnF/+3bEhAQ5OKL6YdHJ04yKaIGHXgcgibEQjUitpg8sFgvR0dF1HYsQQji9f+09gEVRGB0R7vSJMcDCE6fYnpqGu1bLPwb0dXQ49cI3R45x65KVjPxlMWUmk6PDEULcZLVKjrt168bZs2frOhYhhHBq50tK+Tr2OAB/6dXDwdFcXYnRyF82bQPgpd49CZWexlf126kzPLJ6PQC3NAvGRUoGhWh0apUc/+lPf2LXrl2sWrWqruMRQgin9cnBw5SaTPQICmRwWKijw7mqD/YeIKmwiHAvL/7Us5ujw3F6GxKTuWvZKiyKwsOd2vPeoH71ZsGlEKLu1KjmeM6cOZcd6927N88++yw//PAD7du3x9Pz8hkJlUrFzJkzrz9KIYRwsBKjkTkHDgPwl5juTp80pRQW8c6ufQC8N+gW3HS17tzZKOzPyGTS78swmC1Mad2Sz0cMcfp/YyHEjVHr5LjC7t272b17d5XnJDkWQjQU38Ye53xpGZE+3kxt08rR4VzVi1u2U2Iy0S80hDvatnZ0OE7tVG4eo39ZQqHByOCwUH4YN0o6egjRiNUoOf7uu+9udBxCCOHUWvn6EBMcyP3t2zl94rQrLZ35x04A8OGQATIDehWFBgMKCt0Cm7J48nhctTLLLkRjVqOfAL169brRcQghhFMbFdmCkRHhWK6w8ZEzUBSFZ9ZbW7dN79COnsHSuu1qugcFsu3u2/BxccHbRe/ocIQQDlar6Y85c+awZ8+eK47Zt2/fFcsxhBCivlGpVE6/6cfCE6fYmZaOh04nrduuoNRo4nDWefv9Nv5+BHm4OzAiIYSzqHVyvGvXriuO2bdvH5988kmtghJCCGdhURS+PnKM9OJiR4dyVSaLhb9ts/5s/ktMd5pVsVBaWN+nu5at4pYffmH1uURHhyOEcDI3bArEaDSidvIZFiGEuJo96Rk8/Mc62n09H5PF4uhwrmjBsROcys0jwM2VZ3t2dXQ4TklRFJ5Ys4ElZ+IxWSy4Sh9jIcQlap29XmmBh8FgYN++fQQEOP/uUUIIcSW/nToDwOiIFk69EM9oNvPGDmvnoL/EdMdLL7WzVXlt2y6+OnIMtUrFj+NHMbAe9KsWQtxcNV6SO2zYsEr3582bx6JFiy4bZ7FYyM3Npby8nNtvv/36IxRCCAf6/bR1N9AprVs6OJIrm3c0jrP5BQS6uzGza2dHh+OUPjt4hDd3WtfLfDp8MFNaO39LPiHEzVfj5Fi5aIW2SqVCUZRKx+wX1GqJioqiT58+zJgxo26iFEIIB4jLzuFETh46tZoxkRGODqda5SYzb+6wJn0v9uqBh17n4Iicz6KTp5m5diMAr/XtxeNdOjo2ICGE06pxcrx+/Xr79+3atWP69OnMmjXrhgQlhBDOoGLWeFh4c6du8fV17DESCwsJ8fDgiS6dHB2OU/ox7hQK8FjnDrx2i7QnFUJUr1adztetW4e3t3ddxyKEEE6lIjme7MQfv5eZTPyfrVTgr717yDbR1fhx/CiGHArl8S4dZVMUIcQV1eqnaGioLGAQQjRsOaVl7M/IAmBiq0gHR1O9Lw4fJaWomOZenjzaWUoFLlZiNOKus5aYaNVqZnSTWmwhxNVd1xTDgQMH2L59O5mZmRgMhsvOq1Qq/vGPf1zPUwghhEP4u7mS/uTDbE9NI8TTw9HhVKnEaOQfO/cC8EqfGFy00pasQrnJzJCFv9E1sAkfDR0k740QosZqlRybTCaee+451qxZg6Io9gV6FSruS3IshKjP/N1cGe/Es8afHTxCRkkJEd7ePNgx2tHhOJVZ6zayOz2DU3l5vNS7JxE+UgoohKiZWjXt/Prrr1m9ejVTp07l119/RVEUpk+fzsKFC3n++efx9vZm9OjRrFmzpq7jFUIIARQZDLyzex8Ar/aNQS+bWdh9cSiWL48cQwX8OG6UJMZCiGtSq+R46dKltG7dmv/7v/+jQ4cOAHh5edGlSxceeeQR5s+fz8aNG9m6dWudBiuEEDfD/+JO0e+HX5gXe9zRoVTrkwNHOF9aRitfH+7v0M7R4TiNHalpzFq3CYB/DOjLqMgWDo5ICFHf1Co5TkxMpHfv3vb7KpUKk8lkv9+6dWuGDBnCjz/+eP0RCiHETfbrqdNsT03jRG6uo0OpUpnJxIf7DwLwap8Yp96572ZKKyrm1sUrMVos3Nq6FS/06uHokIQQ9VCtfqLqdDpcXV3t993d3cnJyak0plmzZiQkJFxfdEIIcZOVm8ysOGv92TU5yjl3xZt/7ATpxSU09/JkWnQbR4fjFBRF4a5lq0grLqZ9gD/fjBkuLduEELVSq+Q4JCSEtLQ0+/2WLVuyZ8+eSovyDh06hI+Pz/VHKIQQN9H6xCSKjEaaeXrQMzjI0eFcxqIo/HPvfgCe7dEVndQaA9ZPMF/o1YMW3l78PnkcXnrn3bRFCOHcapUcx8TEsHfvXnsyPHbsWOLj43n88cdZsGABzz33HPv27WPAgAF1GqwQQtxoFRt/TGrVErUTzjwuPRPPiZw8fFz0PNq5g6PDcSpjW0Zw6uH7aO3n6+hQhBD1WK1aud16662YzWbS09MJCQnh3nvvZdeuXWzcuJHNmzcD0LlzZ/70pz/VabBCCHEjWRSFxafjAZjc2jlLKt7bbZ01frJLJ5kdBQ5lZuGt1xPpa/2kUmbShRDXq1bJcYcOHfj73/9uv6/T6fj88885cuQISUlJNGvWjM6dO6OWRSJCiHpkR2oaGSUleOv1DA5zvp1At6Wksj01Db1GzVPduzg6HIfLKillwm/LKDIa+ePWScSEOF8ZjBCi/rmuHfIu1alTJzp16lSXlxRCiJvGW69nUlQk/q6uTtk3+P091lnj+9u3c9pd+24Wk8XCXctWkVRYRGs/X9r4+zo6JCFEA3FdybHBYGDHjh2cPXuWkpISZs6cCUB5eTlFRUX4+fnJ7LEQot7o1LQJv08ej+WixcXOIi47h8Wn41EBz8d0d3Q4Dvfi5u2sT0zGQ6fjt0lj8XFxcXRIQogGotaZ67p16xgyZAhPPPEE7777LnPmzLGfO3HiBP3792f58uV1EqQQQtxMzrgQ7597DwAwMSqStv5+Do7GsX6KO8kHtvfj29HD6dAkwMERCSEaklolx/v27ePpp59Gr9fz8ssvM378+ErnO3fuTHh4OKtXr66TIIUQ4kYqM5l4ecsO4vPyHR1KldKKivn+WBwAf4lp3BtbHM46z8Or1gHwQq/u3NY2ysERCSEamlqVVXz22Wd4eXnx66+/4u/vT15e3mVjOnbsyOHDh683PiGEuOF+ijvFP3bt5YfjJznz6P1ON3P80f5DGMwW+oWGcEtoiKPDcah/7NxLicnEiBZh/F//vo4ORwjRANUqOT506BCjRo3C39+/2jHBwcGsX7++1oEJIcTNoCgK/7Ftxfxk145OlxgXlBv47NARAP4itcZ8O2Y4ET5e/DmmOxpZ0yKEuAFqlRwbDAa8vLyuOKawsFC27hRCOL3NyakczDyPm1bLI52cb1ON/x6OJb/cQDt/P8a3inR0OA7nqtXyzsB+jg5DCNGA1erP7rCwMGJjY6845uDBg7Rs6ZxN9IUQokLFrPH9Hdrh7+bq2GAuYbZY+PiAtTztTz27Od2s9s1yOOs8b+7YjdlicXQoQohGoFbJ8ciRI9m7dy+///57lee/+uorTp06xdixY68nNiGEuKHO5RfYd8R7qpvzbaqx7Ow5EgoK8Xd15Z7oto4OxyGKDUbuXLqKv23bxWvbdzk6HCFEI1CrsoqHH36Y1atX89JLL7FkyRLKy8sBeO+99zh48CAHDhwgOjqae++9t06DFUKIujTnwGEsisKIFmG0b1L9GgpHmWObNX6kU3vcdHW6Z1O98fSGzcTl5NLM04Onu3d1dDhCiEagVjPHHh4eLFiwgLFjx7Jr1y727duHoih8/fXXHDhwgDFjxvDNN9+g1+vrOl4hhKgzXnod3no9TzvhVszHs3NYm5CEWqXiya6Nc+fRn+JO8tWRY6iA+WNH0tTdzdEhCSEagVpPRfj4+PDBBx/wyiuvcOTIEfLz8/H09KRTp040adKkLmMUQogb4rVbevNcz2546HSODuUynx60dqiY0CqCCB9vB0dz853Ny+ex1daOR6/0iWFIeHMHRySEaCyu+3M6Pz8/Bg4cWBexCCHETeflhJ9wFZQb+Db2OACzunV2cDQ3n8Fs5q5lqyg0GOkfGsLfbunl6JCEEI2INIkUQjQ6e9Mz2JiYjKIojg6lSt8dPU6R0Ug7fz+GhYc5Opybbn9GFkfOZ+Pn6sKCcaPQSj9jIcRNVKOZ4/vvv79WF1epVMybN69WjxVCiBvl9e27WX72HG8P6MuLvXs6OpxKFEVhzkHrQrxZ3To3yn7xfZoFs+eeO0ktLibc+8o99YUQoq7VKDnevXt3lcdVKlWVMy8VxxvjD3UhhHOLz8tnxdlzANzaJsqxwVRhbUISJ3Ly8NLruL9DO0eH4zAdmwbQsWmAo8MQQjRCNUqO4+LiKt03GAw89dRTJCQk8OSTT9KzZ0+aNGnC+fPn2bNnD59//jktWrTgo48+uiFBCyFEbc09HIsCjIwIp7Wfr6PDuUxF+7bpHaKdsh76RrEoCo+vXs/DnTrQp1mwo8MRQjRitSrk+uijjzh58iS//PILEydOpFmzZuj1epo1a8akSZP4+eefOXnypCTHQginUmYy8dWRYwDMcML2aOfyC1h6xropyUwnjO9G+mDPAb48coxRvywmr6zc0eEIIRqxWiXHy5YtY9SoUXh4eFR53tPTk5EjR7J8+fJaB3b48GEeffRRYmJi6Nq1K7fddhtLly695usUFRXx0UcfMX78eLp06ULPnj2ZMmUKc+bMqXVsQoj66ZeTpzlfWkaYlyfjWkY4OpzLfHrwCAowokUY7QKsm5IoFgum48cw7tiG6fgxlAa4hfLutHT+unUHAB8M7o+vq4uDIxJCNGa1auWWk5OD0Wi84hiTyUR2dnatgtq1axcPP/wwOp2OcePG4eXlxerVq3n++edJSUnhiSeeqNF1UlNTmT59OklJSdxyyy0MGjQIg8FAYmIif/zxB7NmzapVfEKI+qmid/DjXTo6XQeEEqORL48cBS60bzPu2U3Z/HkoOTn2cSp/f1zvnY4upmG0NysoN3D3sj8wWSzc0TaKhzu1d3RIQohGrlbJcXh4OKtWrWLmzJn4+flddj4nJ4dVq1bRokWLa762yWTilVdeQaVSsWDBAtq3t/6gnDlzJnfddRcff/wxo0ePJiIi4orXMZvNPPXUU2RmZvLtt9/Sp0+fy55HCNF45JaVcb60DJ1a7ZQJ2E9xp8gtKyfC25txLSMw7tlN6Uf/vmyckpNjPf7Us/U+QVYUhSfWbOBsfgEtvL2YO2KoLOQWQjhcraZOpk+fzvnz55k6dSrz5s0jNjaWtLQ0YmNj+fbbb5k6dSrZ2dlMnz79mq+9c+dOEhMTGT9+vD0xBmupxowZMzCZTCxatOiq1/njjz84cuQIDz300GWJMYBWe937nwgh6hE/V1fiHrqXvffdSXA1JWGO9ImtfduMrp1QA2Xzr9wGs2z+d/W+xOLr2GP8GHcSjUrFj+NHSTmFEMIp1CpDvP3228nMzOSzzz7jnXfeqXROURQ0Gg2zZs3itttuu+ZrV7SN69+//2Xn+vXrV2nMlaxYsQKA0aNHk5aWxsaNGyksLCQsLIyBAwdWWy9dwWAwYDAY7PdLS0tr/BqEEM5JrVLRuanzbW+/Lz2T/RlZ6DVqHuwYjflEXKVSiqooOdmYT8ShjXa+WfCa2pyUCsCb/fvQt1mIg6MRQgirWk+fzpw5kwkTJrBkyRJOnjxJYWEhXl5etG3blgkTJhAeHl6r6547dw6gypIMHx8f/Pz8SEhIuOp1YmNjAdi3bx9vv/12pUTX39+fDz/8kN69e1f7+Llz51ZatKdWq+nYsWNNX4YQwonEZecQ4eONq5N+YvRfW63xra2jaOLuhjEvt0aPU2o4zll9M2Y4Y1q24I62rR0dihBC2F3Xb4rw8PA6X9RWVFQEgJdX1bsieXp6kp6eftXrVCwGfOutt3jooYe499570ev1LF++nHfffZeZM2eyYsUKAgMDq3z8448/zoMPPmi/X1payowZM6715QghHExRFCb9vpzssjKWThnvdDOURQYDC46dAOCxzh0AUPlevpajKjUd50yKDUbcdFrUKhVqlYq72rVxdEhCCFGJcy3XrkMVO/cNHjyY559/nuDgYPz9/bnvvvt44IEHKCws5Jdffqn28Xq9Hk9PT/vX1cowhBDOaX1iMidz8yg3menYxPl2XPsp7hRFRiOt/XwZFBYKgKZtO1T+/ld8nMo/AE3b+rWDntFsZuLvy7hr6SpKjbIoWgjhnJwuOfb09ASgsLCwyvNFRUXVzipXdZ2hQ4dedm7IkCHAhdILIUTDVdG+7f4O7Zxyx7kvDlt/Dj3aqYO9U4NKrcb13isvaHa9935UTtaO7koURWHmuk2sT0xmZXwCZ/PzHR2SEEJUyel+sla0aKuqrjg/P5/c3NwatYiLjIwEwNvb+7JzFcfKy2UXJiEasuTCIhafPgvAk12cb8e5g5lZ7EnPRKdWM71D5VlgXUwv3J569rIZZJV/AG71sI3bv/Ye4L+Hj6K2dabo4ISz+EIIAddZc3wjxMTEMHfuXLZu3cq4ceMqndu2bRsAvXpd/ZdCnz592L9/P6dPn2bkyJGVzp0+fRqA0NDQOopaCOGMvjgUi1lRGNi8GR2bOl8y9t/D1oV4k6NaEujhftl5XUwvtD16WrtX5OWi8vWzllzUoxljgCWnz/LnTdaf3x8M7s/4VpEOjkgIIarndD9h+/btS1hYGMuWLeP48eP240VFRXz66adotVqmTJliP56Tk8OZM2fIuaTt0dSpU9Hr9cyfP5+MjIxK15k7dy4AY8aMucGvRgjhKGUmE58dspZUVOw450yKDUbmVyzE69Kh2nEqtRptdHt0ffuhjW5f7xLj1KIipq9ciwI80aUjT3fv4uiQhBDiimr0U/b3338nLi7uRscCWDfneOutt1AUhWnTpvHqq6/y7rvvMmnSJE6dOsWsWbPsJRMACxYsYOzYsSxYsKDSdcLCwvjLX/5CdnY2EydO5JVXXuGNN95g4sSJHD9+nDvvvJO+ffvelNckhLj5NiQmc760jBbeXkxp3crR4Vzm55OnKTAYaOnjzdDwMEeHc8M8uWYjeeXl9AwK5KOhA2UHPCGE06tRWcWLL77IrFmzaNfOWhM3bNgwpk+fzv33339DgurTpw8//PADH330EStXrsRoNBIVFcXTTz/NxIkTa3yd++67j9DQUL766iuWL1+O2WwmKiqKJ554gjvuuOOGxC6EcA5jWkZw7MF7SCkqQuuEs632hXidO6BuwAnjMz26cjI3j29GD0en0Tg6HCGEuKoaJccuLi4YjUb7/ZSUFAoKCm5YUACdO3fmyy+/vOq42bNnM3v27GrPDx06tMqOFUKIhi86wJ/ogCu3RHOE2KxsdqSmo1WreaBjtKPDuaGGhDfn6IP3NOg/AIQQDUuNplNCQ0PZunVrpbpe+WhMCOGsckrLHB3CFVXsiDexVSTBDbCHuqIopBUV2+9LYiyEqE9qNHN8xx138M4779CvXz/AmhjPmTOn0vbKVVGpVBw7duz6oxRCiBo6mZNLp3k/cHub1swbMxyNk5VUlBpNfHfUuoajYke8huaH4yd5fM0GPhjcn8e7dHR0OEIIcU1qlBw/8MADBAQEsHnzZjIzM9m1axfNmjWTVmhCCKfzn/2HMJgtFBgMTpcYA/xy8jR55eW08PZiRES4o8Opc2lFxcxev4lio5GsklJHhyOEENesxn2OJ0yYwIQJEwBo164dU6dOZdasWTcsMCGEuFa5ZWV8G2ttAflMD+dsGVZRUvFIp4a3EE9RFJ5Ys4HcsnK6BzXlhV7dHR2SEEJcs1ptAvL2228THd2wF5EIIeqf/x4+SonJROemAQwJa+7ocC5zMieXLcmpqFUqHmyAC/F+OH6SJWfi0anV0p1CCFFv1So5vngTDiGEcAZGs5mPDxwG4JnuXZ1y0fA3tlnt0RHhhHp5OjiaupVVUspT6zcD8GrfGDo3beLgiIQQonaua/vopUuX8ttvv3H8+HEKCwvx9PSkffv2TJkyxV6CIYQQN8OiU2dILiwi0N2Nu6PbODqcy5gsFubZFuI91Km9g6Ope3/ZtI2csjI6NQngxV49HB2OEELUWq2SY4vFwjPPPMOaNWtQFAVXV1cCAwPJyclh+/bt7Nixg9WrV/Of//wHtRMuiBFCNDxzD1lreZ/s0glX7XX93X9D/BGfQFpxMU3cXJnQKvLqD6hHFEUh2MMdvUbN3JFDpJxCCFGv1eo3yPfff8/q1auJiYnh+eefp0uXCwtfDh8+zD//+U/Wrl3L999/z/Tp0+ssWCGEqM6vk8bw5eFj3NehraNDqVJFScW97duhb2DJo0ql4u2Bt/B0jy4Nsm+zEKJxUSmKolzrgyZPnkx5eTlLly5FW8UMjclkYuLEieh0OhYvXlwngTpaSUkJ06dPZ968ebi7uzs6HCFEPZJVUkro519jtFg4PP1uOkk9rhBCOK1a1TzEx8czZMiQKhNjAK1Wy+DBgzl37tz1xCaEEFdVbjJTi7/xb6oFx09gtFjoGRTYoBLjM3n5DFm4iIOZWY4ORQgh6kytkmOdTkdp6ZWbu5eWlqLT6WoVlBBC1NTzm7bSe8H/2JyU4uhQqqQoCl8fse4U2pAW4imKwsy1G9mYlMKLm7c7OhwhhKgztUqOo6OjWblyJRkZGVWez8zMZOXKlbRv33B+EQghnE92aSlfHznGnvRMjBaLo8Op0r6MTI6cz8ZVq+Huds7XRaO2fj5xmj/OJeKi0fDxsEGODkcIIepMrZLjhx56iLy8PG699Va+/vprjhw5QlpaGkeOHOGrr75i6tSp5Ofn8+CDD9Z1vEIIYffpwSOUmEx0C2zK0HDn2/QD4Osj1oV4U6Ja4evq4uBo6kZ+eTlPb7D2NH6pdw9a+/k6NiAhhKhDtepWMWTIEF566SXef/993n///UrnFEVBq9XywgsvMGTIkDoJUgghLlVqNPHxfuumH3+O6e6Um36UGk38EHcCgIc6NZwd8V7esoP04hLa+PnyYq+ejg5HCCHqVK2bgU6fPp2hQ4eyZMkS4uLiKCoqwtPTk+joaCZMmEBYWFhdximEEJXMO3qcrOHuu/8AAGBQSURBVNJSWnh7cXvbKEeHU6XfTp8hv9xAuJcXQ8Mbxs/EVfEJfHLwCACfjRiMi7ZhtaUTQojr6pQfFhbGzJkz6yoWIYSoEbPFwgd7DwDwbI+uaJ10s6GKhXgPdoxG7YQz27Ux76i1TOTJLp0aTMIvhBAXc75tpIQQ4ipWxidwOi8fP1cXHnbSDhDn8gtYl5gMwAMdG05JxfyxIxnYPJQHG9BrEkKIi0lyLISod8ZEtmDRpLHklJXhqdc7OpwqfWvbEW9YeHMifLwdHE3d0ajVPNm1k6PDEEKIG0aSYyFEvaNRq5nSupWjw6iWRVH41lZ+0BB6Gy87E8+ys+f4cMgAXKvZ/EkIIRoK+SknhKhXTBaL09YYV9iQmExCQSE+LnqmRDlvEl8TiQWFTF+5lpyyMiK9vXmhdw9HhySEEDeUc/+GEUKIi8Rl5xA+91ve2bXXqbeMrpg1vqtdG9x09XcOwmA2c+fSVeSUlRETHMgzPbo6OiQhhLjhJDkWQtQb7+85QFpxMTvT0p2yrzFYN8j49eQZgHq/aO2lzdvZmZaOr4sLC8ePlrZtQohGQZJjIUS9cDw7xz4j+0Iv5/1o/+cTpyk1mWjn70ev4CBHh1Nr+9Iz+de+gwB8O2Y4kb4+jg1ICCFukuv6vC8rK4ujR49SUFCAxWKpcszkyZOv5ymEEAKAFzdvx6IoTIqKpG+zEEeHU61vbF0qHuwY7bSz2zXx5s7dANwT3ZZJUS0dHI0QQtw8tUqOy8vLeeWVV1i+fHm1dX+KoqBSqSQ5FkJct81JKSw5E49GpeKdAbc4OpxqncjJZXtqGmqVivvat3N0OLWWVVLKuoRkVMArfWR7aCFE41Kr5Pj9999n6dKlREREMH78eIKCgtBKex8hxA2gKAp/3rQNgEc7d6BdgL+DI6pexe5xoyPCCfH0cHA0tdfU3Y34R6ezJiHJqd9vIYS4EWqV0a5atYqoqCgWLVqE3kkb8AshGoZ9GZnszcjEQ6fjtVt6OTqcapktFr47GgfAgx3rf2/jJu5u3B3dxtFhCCHETVer5LiwsJAJEyZIYiyEuOF6Bgdx6P67ic3OJtjDeWdj1yYkkVJUjL+rKxNaRTo6nFo7mZNLG38/R4chhBAOU6tuFa1ateL8+fN1HYsQQlSpY9MA7mrn3LOYFQvxpkW3qbctz07l5hH9zQKGLFxEqdHk6HCEEMIhapUcP/LII6xbt46EhIS6jkcIIQAoKDcQl53j6DBqJLesjN9PnwXqd2/jt3ftxaIouGu19XrzEiGEuB61+unXtGlTBgwYwO233879999P+/bt8fLyqnJsTEzMdQUohGic3t29j3d37+PN/n14qbdzd0z4Ke4U5WYznZsG0C2wqaPDqZVz+QV8f+wEAK/2dd7abiGEuNFqlRzfd999qFQqFEVhzpw5V+zlefz48VoHJ4RonJILi/jXvgOYFYX29aBbwjexxwB4oEP97W38zu59mCwWhrcIo0+zYEeHI4QQDlOr5HjmzJn19heAEML5vbZtF2UmM/1DQ5jo5Ivbjp7PZk96Jlq1mnvraW/j5MIie4L/ah/5tE8I0bjVKjmePXt2XcchhBCA9eP9in7B7w3q5/R/iH9rW4g3vmUETd3dHBxN7by/Zz8Gs4WBzZsxMCzU0eEIIYRD1WpBnhBC3Cj/3LMfs6IwvEWYU28TDWCyWOx1uvV1IZ7ZYmF9YjIAr/aVWWMhhLiu5cglJSWsW7eO48ePU1RUhIeHB9HR0QwfPhx3d/e6ilEI0UhkFpfwle3j/Zd693BwNFe3Mj6BjJISmrq5MSayhaPDqRWNWs2B++9ixdlzDAsPc3Q4QgjhcLVOjteuXcvLL79MQUEBiqLYj6tUKry9vXnzzTcZOXJknQQphGgcDmWdx0WjoXOTJgwJa+7ocK7q6yPWRP7+Du3Qaepnb2MArVrNxKiWjg5DCCGcQq2S4wMHDvDMM8+gVqu544476N27N02aNOH8+fPs3r2b3377jeeee47vv/+ebt261XXMQogGakREOAmPPUB6cYnT1xpnFJew7Ow5AB6qh9tF55SWMfdwLM/16FZvNy0RQogboVbJ8eeff45Op2PhwoW0aVN516qxY8cybdo07rzzTubOncvnn39eJ4EKIRoHHxcXfFxcHB3GVc0/FofJYqFPSDDtmzh/u7lL/WnjVr49epy96Zn8Ommso8MRQginUasFeQcPHmTs2LGXJcYV2rRpw5gxYzhw4MB1BSeEaBzKTCbWJSRVKtFyZoqi8LWtS8VDnerfQrw15xL59uhxVMCfesqne0IIcbFaJcelpaUEBARccUxAQAClpaW1CkoI0bjMOxrH8J9/Z+riFY4OpUZ2pWVwLDsHN62WO9tWPUngrIoNRh5bvQGAmd06c0uoc3cEEUKIm61WyXFoaCjbtm274pgdO3YQGir9MoUQV2ayWHhv9z4ABteTHrtf2zpq3N4mCm8XvYOjuTavbtvJuYICwr28+MeAvo4ORwghnE6tkuOxY8dy9OhRXnjhBTIyMiqdy8zM5MUXX+To0aOMHSt1bEKIK/vl5GnO5hcQ4ObKI506ODqcqyo2GPkp7iQAD3WqXwvxdqWl85/9hwCYO3IIXvr6ldgLIcTNUKsFeY8++ihbt25l8eLFrFixghYtWhAQEEB2djYJCQkYjUY6d+7Mo48+WtfxCiEaEEVReGeXddb4qW5d8NDrHBzR1f166jSFBiOtfH0Y2LyZo8OpMUVReGrdZiyKwr3t2zK6nvZlFkKIG61WM8eurq58//33zJ49m6CgIE6fPs2uXbs4ffo0wcHB/H979x0W1Zk9cPw7Q4ehC1YUFUGxK6JGjT2JvSabGCNJ9KeJZY3ZtE3Z7GaTbDY90WRjuiWW2KKxxRiNBUVs2BA7KChI7zDMzP39AUwkFAEHZgbP53l4mLn3nXvPXC4zZ945933nzZvH8uXLcXR0NHW8QogGZPuVOE4kp+BiZ8fc7l3MHU61fHuq+EK8Jzp1sPjh5m6lUqlYMfp+HgwM4KNBA8wdjhBCWKxaTwJib2/PnDlzmDNnDjk5OeTm5uLi4oJGozFlfEKIBuw/JbXGs7p0xMvJ8j9MX0zPYE98AiogrKP1jVLR1sOdH8eOMHcYQghh0e5o+uhSGo1GkmIhRI2k5ReQll+AvY2aZ61kOLHvzxT3Gt/v35IWrtbzmqfV67G34hn8hBCiPpkkORZCiJrycnLkRNgjRN1MobkVJJp6g4HvjWMbW8+FeHqDgZ7LVtPdtxHvDuxHExcXc4ckhBAWrVrJ8dChQ1GpVHz33Xf4+fkxdOjQam1cpVKxc+fOOwpQCNFw2ajV9Gzia+4wquXXuGsk5OTi5ejI2LZtzB1Otf108TKnU1KJz85h0dBB5g5HCCEsXrUuyFMUBYPBUOZ+dX5ufYwQQgAYFIVvTp0hv0hn7lBq5JtTxWMbTw0OwsHWOkoUFEXhPyWjgczt3sXqxmQWQghzqFbP8a5du6q8XxdOnjzJwoULiYqKoqioiICAAMLCwhgzZkyttldUVMTkyZOJiYmhdevWbN++3cQRCyGq48dzF5jxyy4+OHyc0088itoKRnxIyctn48XLADzZyXouxPs17hpHk27ibGvL/B5dzR2OEEJYBYusOT506BDTp0/Hzs6OUaNG4erqyo4dO3juuedISEjgqaeeqvE2P//8c65evVoH0QohqktnMPB6+CEAHm4faBWJMcDS6BiKDAZ6NPahq6+PucOptv8cOgLA/3XpSCNnJzNHI4QQ1qFW4xxPmzaNn376qco2mzdvZtq0aTXetk6n49VXX0WlUvHDDz/w5ptv8uKLL7Jx40batWvHwoULiY2NrdE2z5w5w5dffsmzzz5b43iEEKaz9EwM59Mz8HZy5Jme3cwdTrUoisKXJ08DMLNLJzNHU30Hr9/g92sJ2KnV/M1KRgMRQghLUKvkODIykvj4+CrbXL9+ncOHD9d42xEREVy9epXRo0cTHPzHFeEajYbZs2ej0+lYv359tben1Wp56aWX6Nq1K1OnTq1xPEII0yjU6fnXgUgAXgrtaTX1r3vjr3MuLQMXOzumdAg0dzjV9vHRKAAeC26Pn5ureYMRQggrUmdlFfn5+dja1nzzkZHFb579+/cvt65fv35l2lTHokWLiIuLY+PGjTWazUqr1aLVao338/Pzq/1YIUR5X586w9XsbJq6uDCnm3XMhgcYe42ndAjE1d46EnqAxcOH0NWnEZMDA8wdihBCWJVqZ6/Xr18vcz87O7vcMgC9Xk9SUhLbt2+nefPmNQ6otGSiVatW5da5u7vj6elJXFxctbZ18uRJvv76axYsWEDr1q1rFMfixYtZtGiR8b5araZTJ+v5SlUIS5JXVMSbEcXfJL3aJwQnO4u83KGclLx81p6/CMAsKyqpAPBwdODlPr3MHYYQQlidar9DDRkyxNjzqlKpWLp0KUuXLq20vaIovPDCCzUOKCcnBwBX14q/BtRoNCQmJt52O1qtlr///e906NCBJ598ssZxzJo1iyeeeMJ4Pz8/n9mzZ9d4O0IIyNJq6dusCceTUpjRpaO5w6m2pdExaPXFF+JZy3jMBTodDjY2NfqmTAghxB+qnRyPHz8elUqFoij89NNPtG/fng4dyg9ppFarcXd3p0+fPtx7770mDbYmPv74Y+Li4li3bh02tZg21d7eHvtbvkJVq2tVni2EAJq4uLB+3CgyCwutZhpja70Q7/k94UTeSOLDwf3p17yZucMRQgirU+3k+J133jHejoyMZOLEibUajeJ2NJriaWSzs7MrXJ+Tk1Npr3KpM2fO8P333zN79myCgoJMHqMQonbcHRzMHUK1WeOFeJmFhXx/+iw5RUXk66xrkhUhhLAUteoOnThxIu7u7qaOBQB/f3+ACuuKMzMzSU9Pr7Ae+Vbnzp1Dr9ezcOFCgoKCyvwAXLlyhaCgIEJCQkwevxDiDxfSM3h8268kZOeYO5Qas8YL8b4rSYyDvb0Y2tLP3OEIIYRVqtVVMV988QVhYWGmjgWAXr16sXjxYvbv38+oUaPKrAsPDwcgNDS0ym34+/szefLkCtetXbsWV1dX7r//fpycZFB8IerS83v2s/HiFbK0WtaPG3X7B1iI1Pw/LsSbaSU10nqDgYXHTgDw1x5dpeZYCCFqqVbJcbNmzcjMzDR1LAD07dsXPz8/4yQipXXNOTk5fP7559ja2jJhwgRj+7S0NNLT0/H09MTLywuAHj160KNHjwq3v3btWho1asRbb71VJ/ELIYr9FneNjRevYKNS8Vb/vuYOp0aWnPnjQryQJo3NHU61bL0Sx+XMLDwcHJjaQcrJhBCitmpVVjFq1Cj2799faV3wnbC1teXNN99EURSmTJnCa6+9xn//+1/GjRvHhQsXmDt3bplh2X744QdGjhzJDz/8YPJYhBC1ozMYWLB7HwCzu3Wmg7eXmSOqPmu9EO/Tkl7jGZ2DcbG3M3M0QghhvWqVHD/99NMEBQURFhbG77//TmpqqkmD6tOnDytWrKBnz55s27aNFStW4OHhwXvvvcfTTz9t0n0JIUzvm1PRnEpJxdPRgX/e09vc4dSINV6IF52Sxs64a6hVKuZ0t54JVoQQwhKpFEVRavqg0lIHRVGqrGtTqVRER0fXPjoLkpeXR1hYGEuWLMHZ2dnc4QhhsTILCwn4eikp+QV8OuRe5vXoau6QauTRLb+w4ux5/q9LR768b4i5w6kWncHAxouXOZWcyj/7WdeHESGEsDS1qjmWUR6EEJV5//BxUvILaO/lyVNdracsAazzQjwAW7WaSYEBTJKpooUQ4o7VKjletmyZqeMQQjQQz/fqQZFBzyC/FthZyYQfpb49dRat3kB3X+u5EE8IIYRp1So5FkKIyrg52PPOvf3MHUaN6Q0GPos6CcBcK6nb1RkMDFy1npFtWjG/R1c0VjIesxBCWLI7To6TkpKIiYkhOzsbjUZDhw4daNxYelyEuNvsi0+gd9MmVjM99J/9fOkKcVnZeDs58kh767gQb9PFyxy4foNz6ek827O7ucMRQogGodbJ8bVr13j99dc5ePBguXV9+/bl9ddfv+1MdkKIhmH31XjuW7uRAc2b8fOE0VY5lNinx4p7jf+vc0ec7KzjS7XSmGd16WQ1MQshhKWr1atpYmIijzzyCCkpKbRt25aQkBB8fHxISUnh6NGjHDhwgEcffZQ1a9bQtGlTU8cshLAgMalpTNy4FZ3BQGMXJ5ytMEk7nZzK7mvx2KhUPN2ts7nDqZYTN5PZE59gVTELIYQ1qNW72MKFC0lJSeHf//43Dz74YLn1a9as4R//+AefffYZb7755h0HKYSwTCl5+Yxa/zMZhYX0bdaE7x4YZpXTFi88XjyBxviANrR0czVzNNXz7uFjAEwODKCFq8bM0QghRMNRq0lA9u/fz5AhQypMjAEefPBBBg8ezN69e+8oOCGE5SrQ6Ri/cQuXM7No7e7GxvGjcbS1vl7j9IIClkWfA+CvVjIm88nkFFaePQ/AC6E9zByNEEI0LLVKjlNTU2nXrl2Vbdq1a0daWlqtghJCWDZFUZj+y2+EJ9zA3cGeLRPH4OPsZO6wauWbU9Hk63R09WnEgBbNzB1Otby2PwIF+EtQO3o09jV3OEII0aDUqpvHy8uLCxcuVNnm4sWLeHl51SooIYRlu5SRyeZLsdiq1awbO5IO3tb5v643GPjs+CkA5vXoYjUlIe8O7IeTrS1vyGx4QghhcrXqOe7fvz+7d+9mzZo1Fa5fu3Ytu3fvZsCAAXcUnBDCMgV4enBgymSWjhjO0FZ+5g6n1jZfjiU2KwsvR0emtA8ydzjVFuTlyaoxDxDo5WnuUIQQosGpVc/xvHnz+P333/nHP/7B0qVL6dWrF97e3qSmpnL48GEuXryIp6cnc+fONXW8QggL0bGRNx0beZs7jDvy6bHiC/H+r0uwVQyFVqjT42BrneNICyGEtajVu0HTpk1ZuXIl//jHPzh06FC5EovevXvzz3/+U4ZxE6IByS8qvgDvpdCeDG7Zwtzh3LEzKansuhqPWqVidjfLnxHPoCjcs3INnby9+e/Ae2ji4mLukIQQokGqdVdJq1atWLJkCYmJiURHR5OTk2OcIU+SYiEanrm/7WFH7FVOJadyacY0q+hprcrC48UTaEywkuHbfjx3gWNJyVxMz+TDwf3NHY4QQjRYd/zu1qRJE5o0aWKKWIQQFuq7U9F8ezoatUrFspHDrT4xTi8oYNmZGADmWcHwbUV6Pa/tjwDguV7d8XayzpFBhBDCGtzxO1xSUhIxMTFkZ2fj6upK+/btady4sSliE0JYgBM3k5n92+8A/Oue3lZ9AV6pr06eIU+no4uPN/dawfBt350+y8WMTHycnFjQs5u5wxFCiAat1snx5cuX+fe//01ERES5dX379uXVV1+lTZs2dxScEMK8sgq1PPjzdgp0eka0bsXLfULMHdIdK9Dp+OhoFAALena3+OHb8ot0/OtgJACv9u2Fxt7ezBEJIUTDVqvk+NKlS0yZMoXMzEzatWtHz549adSoESkpKRw7dowDBw7wyCOPsGLFCtq2bWvqmIUQ9aB0oo8L6Rn4uWpYNnI4agtPJKtjWXQMibl5tHDVMKVDoLnDua3Pok5yPSeXVm6uzOrSydzhCCFEg1er5Pi9994jOzubd955h/Hjx5db/9NPP/Hyyy/z/vvv87///e9OYxRCmIFWb8DeRo2dWs2PY0Y0iDpXvcHAu5HHAPhbSHfsbSx7WDRFUfj61BkA/tE3VIZxE0KIelCr5Pjw4cMMHz68wsQYYPz48ezatYvw8PA7iU0IYUYOtjYsH3kffw8NoZOPdY9nXGr9hUtczMjEy9GRGZ2DzR3ObalUKg5OeZBl0ed4tIP1TFIihBDWrFYz5KlUKvz9/ats07p1a4uv5RNClJeUm4dBUYDi//WGkhgrisI7kUcBmNe9i9XU7no6OvLXHl2l11gIIepJrZLjbt26cfr06SrbnDp1ih49etQqKCGEeWQUFDJw9Tom/LSFbK3W3OGY1M64axxLSsbZ1pa53S1/0g+tXm/uEIQQ4q5Uq+T4xRdf5MSJEyxcuJCCgoIy6woKCvjkk084deoUzz//vEmCFELUPb3BwCObt3MuLYPjN5PJK9KZOySTKu01/r8uHWnkbPn108/s2kfv5T+y51qCuUMRQoi7Sq1qjr/99lvat2/P559/zvLlywkODsbLy4u0tDSio6PJysoiJCSEb7/9tszjVCoVb7/9tkkCF0KY1kt7D7A99ipOtrZsHD+axi7O5g7JZCJvJLLrajy2ajXPhnQ3dzi3lVlYyNLoGHKLilBKSlyEEELUj1olxxs2bDDezszM5ODBg+XaHD58mMOHD5dZJsmxEJZp6ZmzvH/kOADfPzCM7o19zByRaf23ZISKRzsEWsVU0UvOFCfGHb29GOjX3NzhCCHEXaVWyfFvv/1m6jiEEGYScT2RmTt2A/BKnxAeat/OzBGZVkxqGhsuXALghV49zRzN7RkUhc+OnwRgbvcucmGzEELUs1olx82bS0+GEA2BVq/n4c3bKdTrGdu2NW/062PukEzuvcPHUYBxAa0JbuRl7nBua2fcNc6nZ+Bmb8/UYBm+TQgh6lutLsgTQjQM9jY2rBkzghGtW/HDqPsaxAx4t4rPzmFZdAwAL4Vax9TXi0p6jR/v1MFqhpsTQoiGpFY9x6V+/vlnNmzYwNmzZ8nOzkaj0RAcHMyECRMYM2aMqWIUQtShXk0bs3XSWHOHUSfeO3yMIoOBgS2a06dZE3OHc1uxmVlsvnQFgNndOps5GiGEuDvVKjk2GAw888wz/PrrryiKgqOjI76+vqSlpXHgwAEOHjzIjh07+OSTT1CrpXNaCEuiNxh46tfdzOraiZAmjc0dTp25mpXNFydOAfBqX+voNW7hqmH9uJFEJiYR5OVp7nCEEOKuVKvMddmyZezYsYOQkBBWr15NVFQUu3btIioqih9//JFevXqxc+dOli1bZup4hRB3QFEU5u/ay9enorl/7aYGN9HHrd44GIlWb2CwXwuGtvQzdzjVYqtWM75dW94ecI+5QxFCiLtWrZLjDRs20Lp1a7777ju6du1aZl2XLl349ttvad26NevXrzdJkEII03j/8HE+izqFCvhi+CBcG2hN6/m0dL4/fRaAtwb0kREfhBBCVFutkuMrV64wePBgbG0rrsqwtbVl0KBBxMbG3klsQggTWh1znhf2hgPwwaD+PBjUsIZsu9XrBw6hVxRGt/Gnb7Om5g7ntgyKwoi1G/n3wUgyCgrNHY4QQtzVapUc29nZkZ+fX2Wb/Px87OzsahWUEMK0jibe5PHtOwH4a4+uLLCCWeJq68TNZFbFXADgzf7WMTTd2nMX2R57lfcPH8cgM+IJIYRZ1So57tChA9u2bSMpKanC9Tdv3mTbtm0EBwffUXBCiDuXlJvH+I1bKNDpGdG6FR8O6m/ukOrUa+GHAPhLUDu6+lr+TH96g4HXDxTH/LeQ7ng5OZo5IiGEuLvVKjl+8sknycjIYNKkSXz77becOnWKGzducOrUKb755hsmTpxIZmYmTzzxhKnjFULUkJOtLd18GhHk5cHK0fdj04BHkDl4/QY/X7qCjUrFG/16mzucallx9jwxael4OTryTM9u5g5HCCHuerUaym3w4MH8/e9/57333uO9994rs05RFGxtbXnxxRcZPHiwSYIUQtSem4M9P40fRUp+Ae4ODuYOp069si8CgLCOHQi0gqHQivR6/nUwEoDne3XHzaFhXiAphBDWpNaTgISFhTFkyBA2bdpETEwMOTk5aDQaOnTowJgxY/Dzs46hk4RoqI4nJdPNtxEqlQobtZrGLs7mDqlO/RZ3jd3X4rG3UfOPvr3MHU61LI2O4VJGJj5OTszt3sXc4QghhKCWyfFPP/2Et7c3AwYMYM6cOaaOSQhxh3bGXeWBtZuYGhzEV/cNwc7Gxtwh1SlFUXh530EAnuramVbubmaO6PYMisLbEUcAeKl3T5kqWgghLEStig9feeUV9u/fb+pYhBAmcDE9g4d+3o6+ZNQD2wZcY1xq06UrRCYm4Wxry8u9rWM2PLVKxdZJY3mqayee7ipTRQshhKWoVc+xj48PRUVFpo5FCHGHkvPyGbX+Z9ILCundtDFfDB/c4CfA0Or1vLCnePzmv/boalXlI0FenvxvuFybIYQQlqRWXUrDhg0jPDwcbQOeelYIa5Oj1TJ6/c+cT8+gpasrG8aNwrGSiXoakk+OnuB8egaNnZ15qXdPc4dTLTny2imEEBarVsnx/PnzcXFxYc6cOVy4cMHUMQkhaqhIr2fypm1EJibh7eTIL5PH0lTjYu6w6tz1nBzeKBnt4Z1777GK0ThytUUEfrOcaVt3kF5QYO5whBBC/EmtupXGjx+PVqvl7Nmz7N+/HwcHB7y8vMp9fatSqdi5c6dJAhVCVO7QjSR+uxqPk60tmyeMob23l7lDqhcv7j1ATlERvZs2ZlrH9uYOp1oWHT/JjdxcwhNuoJFZRIUQwuLUKjlWFAU7OzuaNm1abnlV94UQdaN/i2b8PGE0BkWhT7Mm5g6nXoQnXGd59DlUwMIhA1FbQW11oU7PB0eOA/D6PaENfhQRIYSwRrVKjnft2mXqOIQQtVCg0xnrih9o3crM0dQfvcHA3N/2APBk52B6NW1s5oiq56eLl0jOz6e5xoUpHYLMHY4QQogKNPwxnoRooFacPUfH737gQnqGuUOpd1+dPEPUzRTcHex5u39fc4dTbYtPnAFgeufgu2KIPSGEsEZ3/Oqs0+m4ePEix48f5+LFi+h0OlPEJYSows64qzy+bSeXM7NYeibG3OHUq9T8fF7ZXzxN9Bv9+uBrJUO3nU9LZ/e1eNQqFdM7dzR3OEIIISpR63Ge0tLS+PDDD9myZQsFt1xx7ejoyOjRo1mwYAFeXnfHRUFC1KfjSclM+GkrRQYDfwlqx7/69TZ3SPXqtf2HSCsooFMjb2Z3s57JM746WdxrPKJ1K1q6uZo5GiGEEJWpVXKclJTEI488wvXr1/Hy8iIkJIRGjRqRkpLCmTNnWLNmDeHh4axcuZLGja2jFlAIa3AlI5OR6zeRU1TEYL8WLBkx3CouRDOVqJvJLD55GoCFQ+61qtKEl3r3pJnGhe6+PuYORQghRBVqlRy/++67XL9+nXnz5jFjxgwcbhlbtLCwkK+++opFixbx3nvv8f7779cqsJMnT7Jw4UKioqIoKioiICCAsLAwxowZU63HHzlyhJ07dxIZGUlCQgJ5eXk0b96coUOHMmvWLNzc3GoVlxDmkpKXzwPrNpGYm0cXH282jB+Jg+3dM9qB3mDg6V9/x6AoPBQUwKCWLcwdUo14OzmxIKS7ucMQQghxG7VKjvfv38+AAQOYM2dOuXUODg7MnTuX48ePs2/fvloFdejQIaZPn46dnR2jRo3C1dWVHTt28Nxzz5GQkMBTTz11223Mnz+f9PR0evbsybhx41CpVERGRvL111+zY8cOVq1ahbe3d63iE8Icnv19n3H2u22TxlrFhBcVUQwG9OdiUDLSUXl4YhPUHlU1eoA/PBJFxI1EXO3teH9g/3qIVAghxN2oVsmxVqslODi4yjadOnXi2LFjNd62Tqfj1VdfRaVS8cMPPxj3M2fOHB5++GEWLlzIAw88gL+/f5XbCQsLY/z48fj6+hqXKYrCv/71L1auXMmiRYt4/fXXaxyfEOby0eABpBcU8u7AfjTTaMwdTq0UHY6kYPkSlLQ04zKVlxeOU8Ow6xVa6eOiU9J4Lbz4IryPBg/Az4pqdmNS05j+yy6e7taJqcHWMVGJEELczWpVsNepUyeuXLlSZZvLly/TqVOnGm87IiKCq1evMnr06DIJuEajYfbs2eh0OtavX3/b7cycObNMYgzFM/bNnj0bgMOHD9c4NiHq260T6Xg7OfHzxDF0sNLZ74oOR5L/6UdlEmMAJS2N/E8/ouhwZIWP0xkMPL79Vwr1eh7wb8mTnar+YG5pvjx5hgPXb/DjuYvmDkUIIUQ11Co5nj9/Prt37640SV27di179uxh/vz5Nd52ZGTxG2T//uW/Nu3Xr1+ZNrVhWzJhgo3MTCUsnFavZ8qWX/ioZEY1a6YYDBQsX1Jlm4LlS1EMhnLL3z98jMOJN3F3sOer+4eWm6bekhXodCwpGWpvVhcZvk0IIaxBrcoqIiIi6N27N6+88gpff/01PXr0wNvbm9TUVI4dO8aVK1fo168fERERREREGB+nUqkqrFO+VWxsLACtWpWf7cvd3R1PT0/i4uJqEzYA69atA/5ItCuj1WrRarXG+/n5+bXepxA1lastYvKmrWyPvcr6C5eY2K4trdyt9yJS/bmYcj3Gf6akpaI/F4Nthz96hk8np/L6gUMAfDL4Xlq4Wlc5ybrzl0grKMDPVXNXzWAohBDWrFbJ8aJFi4y3L1++zOXLl8u12b9/P/v37y+zrDrJcU5ODgCurhXXFGo0GhITE2saMgBnz57ls88+w9vbmxkzZlTZdvHixWWep1qtrlWZiBA1lZZfwOgNP3PweiLOtrasGzfSqhNjACUjvcbtivR6Ht++E63ewOg2/kzraH31uqXDzs3o3BEbKxp2Tggh7ma1So6XLl1q6jjq3LVr15g1axZ6vZ4PP/zwthOUzJo1iyeeeMJ4Pz8/31ivLERduZ6Tw/1rN3E6JRVPRwe2TBxD32ZNzR3WHVN5eNa43X8jj3E06Saejg58ed8QqyqngOKLCPfFX8dGpWJ6Z+uqkxZCiLtZrZLj0NDKryq/U5qSq/Czs7MrXJ+Tk1Npr3JlEhISCAsLIy0tjYULF9KnT5/bPsbe3h57e3vjfbX0+og6djE9g+FrNhKblUVTFxd2TB5HJ5+GMdygTVB7VF5eVZZWqLy8sQkq7h0+cTOZNw4WX1uwaOhAmmpc6iVOU/rqVPGMeKPb+tPcyspBhBDibmZxGV/pEG0V1RVnZmaSnp5eYT1yZeLj43nssce4efMmH3/8MYMHDzZVqEKY1G9X44nNyiLAw53wRyY1mMQYQKVW4zg1rMo2jlOnoVKrySsq4rGtv1JkMDChXRseaR9YT1Ga1tCWLRjWyo+nulrPFNdCCCEsMDnu1asXQLl6ZYDw8HCg+j3X8fHxTJs2jZs3b/LRRx8xbNgw0wUqhInN6tqJz4cNYv8jk2nt4W7ucEzOrlcoTn9dgOpPJU0qL2+c/roAu16hKIrC07/+zqmUVHydnfjfsMFWV05RanTb1vz64Hi5EE8IIaxMrcoq6lLfvn3x8/Nj8+bNTJs2jQ4dOgDF5RSff/45tra2TJgwwdg+LS2N9PR0PD09y9QRlybGSUlJfPTRRwwfPrzen4sQt7P1ciz3NGuKh2PxbHdPd2vYvYx2vUKx7RlS6Qx5X508w9LoGNQqFatHP0BjF2czR1xziqJYbUIvhBDCApNjW1tb3nzzTWbMmMGUKVMYPXo0Go2GHTt2EB8fzzPPPEPr1q2N7X/44QcWLVrE3LlzmTdvnnH5tGnTSEhIoFu3bpw7d45z586V29et7YWob/+LOsWcnb/Tr3lTfn1wPI62FvfvWCdUanWZ4dpKHUlMYt6uPQC83b8vg1q2qO/QTOKhn7fT3suTl0J74mJvZ+5whBBC1JBFvhv36dOHFStW8Omnn7Jt2zaKiooICAhg/vz5jB07tlrbSEhIACAqKoqoqKgK20hyLMxBURT+dSCSf5VccNapkTd2d/kFn2n5BUzetA2t3sC4gNa8ENrD3CHVyi9X4lh7/iK2ajWPBQcR6FW9UTqEEEJYDpVy6/y0olJ5eXmEhYWxZMkSnJ2t76teYRl0BgN//W0v/ztxCoDX+4by+j2hd/XX8AZFYfT6n9l2JY62Hu4cmfoXY5mJNdEZDHRdspLo1DQW9OzGh4MHmDskIYQQtWCRPcdCNERp+QU8vHk7v8ZdQ0XxEGWzu3cxd1hm91bEYbZdicPR1oZ1Y0dYZWIM8EXUKaJT02jk5Mg/+tbdcJdCCCHqliTHQtSTx7bu4Ne4azjb2rJs5HAmBgaYOySz+zX2Kq+HF08P/b9hg+nq62PmiGonLb+A1w8Ul8n8u18fq03whRBCSHIsRL15f1B/4nNyWDpiuNUmgaZ0Li2dhzf/ggL8X5eOPN6pg7lDqrV/HYwkraCAzo28mdGlo7nDEUIIcQfu7quAhKhDiqJwLOmm8X4Hby+OT3tEEmPgRk4uD6zdRFpBAaFNGvPpkHvNHVKtZRQU8t3paAA+GjwA27v84kohhLB28iouRB3ILCzk0S07CF3+I7uuXjMuV9/FF96VyirUMnL9JuNsgJsnjrHqYew8HB04FTaF9wf2Y2grP3OHI4QQ4g5Z7zuSEBZIURRWxVzg2d/3kZibh61aTVxmtrnDshhavZ5Jm7YSdTMFX2cntk8eh4+zk7nDumOt3N34Wy/rHH5OCCFEWZIcC2EiF9IzmL3zd3bGFfcUB3p68PX9QxjQormZI7MMiqIw/Zff2Bl3DRc7O7ZMHENbK54mW1EUzqamE9zI6/aNhRBCWA1JjoUwgY+PRvHS3gMU6vU42NjwSp8QXujVEwdbG3OHZjFe3neQ5dHnsFGpWDPmAUKaNDZ3SHdky+VYxmzYzGPBQSwZMfyuHqtaCCEaEkmOhTABb0dHCvV67vNvyWdDBxLg6WHukCzKomMneCfyKABf3TeEEW38zRvQHTIoCq+FRwDQ1MVFEmMhhGhAJDkWohbS8gu4lJFJr6bFvZ9Tg4No4uLMsFZ+kij9yZcnTvPXXXuB4jGAn+gcbOaI7ty68xeJupmCq72d1U51LYQQomIyWoUQNVB8wd15Ony3nHE/bSGjoBAAlUrFcP+Wkhj/yaJjJ5j1624UYF73LrzSJ8TcId0xvcHAP0omLnm2Z3e8naz/gkIhhBB/kJ5jIarpalY2s3f+zpbLsQB08PIkMTdXZkOrxAeHj/HcnnAA/hbSnfcG9msQHx5+OHuOmLR0vBwdeTaku7nDEUIIYWKSHAtxG4qi8NXJMzz7+35yi4qwt1Hzcu8QXgoNkQvuKvFWxGFe3V9ck/tKnxD+3a9Pg0iMi/R6/lkyTfSLoT1wc7A3c0RCCCFMTZJjIapQqNPz4M/b+PnSFQD6N2/Kl/cNoYO3DN9VEUVReD38EP+OOAzAG/1681rfUDNHZTrn0zPI1+lo7OzMnG5dzB2OEEKIOiDJsRBVcLC1wdXeDnsbNf8ZcA/P9Owms9xVQlEUXtp7gHcPHwPgv/fewwuhPc0clWl1bOTNpRnTiElLx8XeztzhCCGEqAOSHAvxJ3lFRRTq9Xg6OgLw2dBBvBjaky4+jcwcmeUq0Ol4cvtvrIw5D8AnQ+7lrz26mjmquuFsZ0ePxr7mDkMIIUQdkdEqhLjFsaSbhCxbzRPbd6IoCgAejg6SGFchMTeXQavXszLmPLZqNV/fP6TBJcbZWi2rY85jKDknhBBCNFzScywExRdavRVxhLcOHUFnMJBRqCUhJ5cWrhpzh2bRTianMGb9Zq5mZ+Pp6MC6sSMZ3LKFucMyuef3hLP4xGlWxVxgw/hR5g5HCCFEHZLkWNz1TienErb9V44lJQPwUFAAnw8bJOPX3sbPl64wZfMv5BQVEejpwc8TRhPo5WnusEzu19irLD5xGoB5PeQiPCGEaOgkORZ3Lb3BwAdHjvNaeARavQEvR0c+HzaQv7QPNHdoFk1RFD48cpzn94SjAENatmDt2BHGGu2GJKtQy/RffgNgTrfODGnpZ+aIhBBC1DVJjsVdK1+nY/GJ02j1Bka38efL+4bQVONi7rAsWlp+Af+3YxfrL1wCYGaXjiwaOhA7m4Y53vPfft/Htewc2ri78c6995g7HCGEEPVAkmNxV1AUhcOJSayOucCzId1p7qpBY2/P9yOGcTE9k8c7dWgQk1TUpX3xCTy6ZQfXsnOwU6t5f1B/5nXv0mCP2/YrcXx9KhqA7x4YhsZeJvwQQoi7gSTHosFSFIUTySmsPHueH89dJDYrC4CWbq7M79kNgAEtmjOgRXMzRmn5dAYDb0Uc5o2DhzEoCgEe7qwcfT8hTRqbO7Q6ozMYmL3zdwDm9+jKvX5yjgghxN1CkmPR4GQUFPLFiVMsjz7HmdQ043JnW1vGtG1NN18fM0ZnXa5lZfPo1h3si78OwLTg9iwaNhDXBt6LaqtWs27sSP4dEcnbA/qaOxwhhBD1SJJj0SAoimL8el9B4fUDh9DqDTjY2DCqjT8Pt2/HqDb+ONvJrGbVoSgKS8/EsOD3faQXFKKxs+OL4YN5NDjI3KHVm+6NfVg/ToZtE0KIu40kx8KqXcvK5uOjUVzKzOSn8aMB8HR05OXeIbRw1TCpXQAejg5mjtK6XEjP4Klfd7PrajwAvZr4snL0A7T1cDdzZHUvvaCAa9k5MumLEELcxSQ5FlYpOiWNdw8f5Yez59EZDABE3Uw2lky8fk9vc4ZnlbR6Pe9GHuPNiMMU6vU42dryet9Qng3p1mBHo/iz534PZ1l0DJ8NG8j/delk7nCEEEKYgSTHwmooisL+hOu8d/g4P1+6Ylw+yK85L/TqQVfp7au1/fHXmbljF2fT0gG4z78l/xs2iDZ3QW9xqZ1xV/n2dDQqINjby9zhCCGEMBNJjoXV2HI5ljEbNgOgAia0a8sLoT3o3bSJeQOzYrGZWby6P4Ifzp4DwMfJiY+HDOCR9oENdoi2iuRqi5i5YzcAs7t1pl/zZmaOSAghhLlIciws1tWsbGIzs4zDaN3n35I27m4MbeXH30K6E9QApyquL2n5BbwVcZhFUSfR6ovLUqZ3Dubde/vh5dTwZrq7nX+ER3AlMws/Vw3/kck+hBDiribJsbAYOoOBEzdT2BufwG9X49l2JY4WGg2X/m8atmo19jY2nJv+GLZqtblDtVoFOh0Lj53k7UNHyCgsBIqnf3733n70bOJr5ujMI/JGIh8fOwHA4uGDG/wwdUIIIaomybEwu2VnYlhx9hzh12+QrS0qs66thzvJefnGaZ0lMa6dAp2OJWdieCviMNeycwDo4uPNf+/tx/3+Le+qEopbafV6pv+yC4Oi8GiHIEa08Td3SEIIIcxMkmNR7xKyc2iqcUFdkpCdSklle+xVANwd7BnQvBn3tmjOyDat6NjI25yhWr1srZYvok7z0dEobuTmAuDnquHN/n14tEMQNnf5hw21SsXjHduz8PhJPh48wNzhCCGEsACSHIt6UaDTsfHiZb47fZZf467xy+SxDGvVEoCHggLwc9Vwb4tmdGrkfdcnbKaQnJfPp8dOsOj4SWP5hJ+rhud69WBml4442sq/PhR/E/G3Xj2Y16Mr9nfJcHVCCCGqJu+Qos4oisKB6zdYFn2OH89dIL2g0LjuQEKiMTkOadKYkCaNzRVmg3IyOYX/RZ1iyZkY8nU6AIK8PHgpNIQpHQIlASyhNxgoMhiMHxLkuAghhCglybGoE0m5efRdsYYrmVnGZS1cNTzesQOPd+pwV8y2Vl8KdXrWnr/I/06cIjzhhnF5z8a+/L13T8YHtJHe+FsYFIUFu/fxS+xVvr5/CANaNDd3SEIIISyIJMfCJK5lZXM6JdV4QZOvsxP2Nmo0dnZMCmzLY8HtGeTXXJI0E7qYnsHXp87wzaloUvILgOIygfEBbZjdrTOD/JrftRfaVUZnMDDjl99YciYGgCuZWZIcCyGEKEOSY1FrCdk5rD1/kR/PXeTA9Ru42ttxc/YMHG1tUalUrB87Cn93V5zt7MwdaoORnJfP6pjz/HD2PBE3Eo3LW7hqmNmlIzM6dzSO7CHKKtDpeHjzdjZevIKNSsX3I4YxNbi9ucMSQghhYSQ5FjVyIT2DDRcu8fOlK+y/5St8FdDN14cbObm0LimZCG4kU/CaQq62iE2XrvDD2XNsvxKHXlGA4pEW7mvlx6yunRjdtrUMc1eFbK2WcRu2sPtaPA42NqwZO4IxbVubOywhhBAWSJJjUaWMgkLsbdTG3t/15y/x0r4DxvX9mjfloaB2TGrXluauGnOF2eCk5OWz+XIsP128xI7Ya8aL6wBCGvsyNTiIv7RvRxMX6SW+ndT8fEas28ThxJu42tuxafxoBrVsYe6whBBCWChJjoVRgU7HieQUjibe5GhSMkeTbnI6JZUlI4bzaHAQACPbtGJvfAIPtG7FhHZtaSEJsclcysjk50tX+OnCZfYlXMdQ0kMM0MbdjUc7BPFocJBMm11DdmobFAW8nRzZPmmsjIwihBCiSpIc34UMikKhTo+TXfGfPyY1jYc3/8KZ1DR0BkO59seSbhqT484+jdgyaWy9xttQZRYWsutqPDtir/Jr3DUuZWSWWd/NtxHjA9owPqANXXwaycV1NaQoCiqVCjcHe7ZNGktKfj7tvaXURwghRNUkOW7AdAYDlzMyOZuWztnUNM6mphOdmsbZtHRmd+vMuwP7AeDt5MSJ5BQAfJyc6NnYh55NfOnZ2JeQxr74ubma82k0GLnaIiJuJLI3PoGdcfEcupForB+G4pEm+jdvyoR2bRnbtjX+7m5mjNZ6Fen1vBYegQoV/7n3HgAaOTvRyNnJzJEJIYSwBpIcNxBZhVqytFpjmUNSbh4tv/wOrb58TzDA2dQ0420fZyc2TRhNV59G+LlqpIfSRFLz8wlPuMG++OvsS7jO0aTkcj3zQV4eDG/Vkvv8WzLIrzmu9vZmirZhiM/O4eHN243jPU8NDpIpyIUQQtSIJMdWpkCn43JGFufT07mQnklUcnFt8Lm0DCYHBrBm7AigeJxhBxsbbFVqgrw86eDtSQcvLzp4e9LR24sAT48y25Ur9+9MfpGOqORkIm8kEZmYROSNJC7+qUwCiodcu7dFMwb5Nee+Vi1pJb3DJrPtciyPbfuV1PwC3Ozt+eb+oZIYCyGEqDFJji2QVq/nSmYWF9MzMPBH4qooCo0//4YsrbbCxyXm5hpvq1Qqzk9/DF9nZ9TSE2xS6QUFnLiZwonk4p+omymcSkmtsF47yMuDe1s0Z0DzZgxo0YxWbq7SM29i+UU6Xt1/kA+PRgHQo7EPP44ZIbMwCiGEqBVJji3A/6JOcTollYsZmVxIzyAuK9s4UkGnRt7G5FilUtHGw43LGVm08/Qg0NODYG8vepXUB/+5plKG+bozOVotMWklddqp6ZxJTePEzRSuZmdX2N7X2YneTZvQq4kvoU0aE9LEF28nqXOtS4qiMHTNBg5eL54QZU63znwwaAAOtjZmjkwIIYS1kuS4juQX6biem0tcVhaxmdnEZmYRl5VNbFYWzra2bJs8ztj2f1GnOJWSWubxLnZ2BHi408Wn7NfCex+ehMbOTnofTURnMBCXlc2F9AwupmdwISOT82npRKemV5oEA7Ryc6WbbyO6+hT/hDRpLPXaZqBSqZjdrTOxmdl8ed9gRkt5kBBCiDskyXEtZGu1xGVmczU7m7isbK5lZ6M3KPy3ZPQHgH4r13L8ZnKFj3e2tTUOMwUQ1rE9aQWFtPVwp52nOwEeHjRxca4w0ZILtmpGURRS8wu4kplFbFYWVzKLf2Izs7hccruognKIUr7OTgR7exnrtbv6NKKLTyM8HB3q8VmIWx1NvEmmtpAhLf0AeLRDEGPbtsHNQf43hBBC3DlJjmuo1Zffk6LTl1vuam9XJjlu6uLMWVsb/N3caOXmir97ye+S+wrFUy4D/K1Xj/oJvoExKArJefncyM3lek4uCTk5XMvK4Vp2Dteys7mWnUN8dg55t8wuVxEHGxsCPNxp5+lBO08PAjzcixNib08pi7AQudoidsRd5acLl/nh7Dl8nJ04/fgUvJ2cjGMZCyGEEKYgyXENZRQUgq0tno4OtHJzpZWbK36urjTXuGBQFOPFb2vHjsTR1ka+Zq8hvcFAekEhKfn5JOXlk5SbR1JeyU9uHkl5+STm5nIjN4/E3LwKL4KrSDONC/5ubrR2d8Pf3bX4t5sb7Tw9aOGqkYsWLdDN3Dx+vnyFjRev8GvcVQpu+VB6b4tmqJC/mRBCCNOz2OT45MmTLFy4kKioKIqKiggICCAsLIwxY8ZUexsGg4EVK1awevVq4uLicHZ2pnfv3ixYsAB/f/9axRXx6IMENva9bXlD6exzdyuDopBZWEhGQSEZhVrSCwtIyy8kraCg5KeQ1Pzi2yn5+aTkF/9OKygsM23y7agAX2dnmmlcaKZxwc9VU/LjWvzbrfiDi6Pt3f33sAZ6gwGDomBnU3wx3WdRJ3nj4GHj+tbubowLaMOkdm3p36KZucIUQgjRwFlkxnDo0CGmT5+OnZ0do0aNwtXVlR07dvDcc8+RkJDAU089Va3tvP766/z4448EBAQwdepUUlNT2bp1K+Hh4axatYqAgIAax9bB2wtnC677VQwG9OdiUDLSUXl4YhPUHpVaXb3HKgr5Oh052iJyi4rIKfnJKtSSrS0iW6slu6jkt1ZLZsnEI3/8LiSzUEtGYSFZhVqqn+KW5+HggK+zE41dnGns7Fx829mZxi7ONHFxpplLcTLs6+xkTKaEdVEUhYScXHZfjWfblTh2xF3li2GDmRxU/H85PqAtWy7HMT6gDeMCWtOpkbd8EyOEEKLOqRSlBt109UCn0zFixAgSExNZvXo1wcHBAOTk5PDwww9z5coVtmzZctue34iICMLCwggJCeG7777DviShPXjwIE888QQhISEsX7682nHl5eURFhbGkiVLcHZ2rvXzqymdwUChTk+hXk+BXkeBTl/8o9dRqNeTr9ORX6QjX6fH48wpOv26DeecP0ZZyHRx4ede93CkeUvyinTk6XTkFhWRV1T8O7eoyLgsR1t0RwltRZxtbfFwdMDDwQEvRwe8HB1LfhzwdnLE09GRRk6O+Dg50cjJiUbOjng7OkrC20Al5eax6PhJjibd5GjSTW7m5ZdZ/1TXTvxv+GAzRSeEEEJYYM9xREQEV69eZeLEicbEGECj0TB79mwWLFjA+vXrefbZZ6vczpo1awB45plnjIkxQN++fenfvz/79u3jypUrtG5ds6GfVsecBzt7igyGP370BooMeooMBrR6Q8lvvfG3Vm9Aayj5rdejLUl4S5cV6vVo9cUJsPGnJCHWV/Ozy5iMVJbGnSu33DU3lym//8r2VkH87FH92cKcbW3R2NvhYmeHm709rvZ2uJb8Lr5vj5u9Pe4O9rg7OBhvuznY4+HggKeDA+4ODjLe7F1Cq9dzs6RG/Fp2NrFZxcMXxmZl0a9ZM54P/eOi0zcj/iiVsFGp6OrbiAf8WzGidSt6N21sjvCFEEIII4tLjiMjIwHo379/uXX9+vUr06Yqhw4dwtnZmR49yo8EUZocHz58uMbJ8cwdu9GZqX7VRqXC0dYWR1sbHG1scLCxwcnWFhcbGz46dxwVlLtESQ0owP9SrzN8/DgcSxJeFzs7nG1tS27b4mxnh6v9H8ttqlmKIayHoijGD3M6pfRDnQFdyYc8R1sbmmk0QPE3FpsvXSFfpydbW1w2U/y7uKymm08j5vboChQPbej26eIq9gvPU/x/2NjFmWd6dqOdhzs9m/jSpVGju74+XwghhGWxuHel2NhYAFq1alVunbu7O56ensTFxVW5jby8PJKTkwkMDMSmgq/nS0sySvdVEa1Wi/aWaZrz84u//tXY22GwtUOlAlXJ9fIqFahVKh4MbIedjRo7tZp98de5lp1d3Ka0rap40gIV8Fb/Pjjb2eFgY8MPZ89xJPFm8XZQoVKpUFPSVgVbJ46hsYsLtmo1b0UcZv2FS2Vi7ZiWgk9B2a+nb6UCXHOyOR4ezgmvRsbl68aOxN/dDYDPj5/km9PRlW5j+cj76ODtBcB3p6JZFHWy0rZf3zeU7o19AFh59jzvHzlWadtFQwfSt1lTADZcuFSmV/HP3hvYzzi27fYrcbyy/2Clbf/drw8j2/gDsOdaAgt276u07St9QpgUWFzneuhGIk/9urvSts/27M5jHdsDcOJmMmHbdqJUUowyp1sXZnbtBMC5tHQmbdwKUKZ1aVXT/3XpyIKQ7gDEZmYxfM1PxnaKUrwHg6KgKPBEpw78s19voHjK8G5LVmFQFAwoxb8VBb1BQa8oPN6xA58PHwRARmEhXou+qvS5TQ0OYtnI+4Di5HhCSbwVGRfQ2pgca+zscLS1oUhvwNfZGT9XDf7urrRyc8PfzZXOf5rI5qPBAyrdrhBCCGFuFpcc5+TkAODq6lrheo1GQ2JiYpXbyC6Z2UxT0gtW0TZu3VdFFi9ezKJFi4z31Wo1nTp1IkdbhM5QPhmyUamMSQjAxI1biExMqnT7kwPbGUsOVpw9z/n0jErbOtnaYVvSk3s1K5tjSWUnF2mdXvFkI3+WdfMmx4r+iL1Q/8fQWNdzc8tt91b5t4wVnJiXV2Xb3KIi4+3k/Pwq22YV/vEBJDW/oMq2GQWFxtvpBYVVtk0rKDDeziwsrHRCFoCU/D/aZmu1RN1MqbRtcv4fH0LydDpOJFfe9tZ62gKdjjOpadVqW2QwcDEjs9K2tz43RYGkvLxK2xbo//i72ajKfxugVqmwVauwU9tge8t6Bxsb+jZrgqONLW4OdsYymtISm+CSD0pQ/CHu+lNP4u7gIEPiCSGEsHoWlxxbilmzZvHEE08Y7+fn5zN79mzWjRuJvaNjufZ/Tgle6xPKzC6dKt2+nc0ficjzvbozNTio0rYaezvj7XnduzKhXdsy692uXILvLlT6+FLPDh3EjNZ/PLbFLR8epgW3p3/zyofHauvhbrz9UFA7uvv6VNq2Y6M/EqdxbVsT6OlRaduejX2Nt+/3b8m2SWMrbdvN949e74F+zapse+u0232aNqm0rQrKJHrdfX3YXsV2g7w8jbc7eHnxS8k04Lf+/UvzwzbufxyzNh7u/PbQ+Fv2qzI+TqVS4ef6x9+ihUbD/kcmGb9tKG2vLvkGorHLHxeENnJy5GTYI6hVqnI/NioVrrecO672dqTPnYmdWo2djRpbtbrSZFalUnFgyoOVHoc/86zgf0IIIYSwRhaXHJf26pb2/v5ZTk5Opb3KpUrXV9YzXLq8sp5lAHt7+zIX8qlLem6HtfKr1mgVpWUF1dHV14eu1WzbycebTn/6mlpp5UfOxnUoaZX3TKq8vOk7aFClw7oFenkSeEviV5W2Hu5lkuWqtHJ3o1VJ6cbt+Lm54udW9d+2VDONxlgfezu+Ls480Lp8mU5FvJ2cuL+abT0cHbjPv2W12rra2xtLQm7Hyc6WflV8ULmVnY0NnX0a3b4hxQmvTHsthBBCVM3irroqrQeuqK44MzOT9PT0CuuRb+Xs7IyPjw/x8fHo9eWnei6tNa7tRCCWRqVW4zg1rMo2jlOnVXu8YyGEEEKIu5XFZUu9evUCYP/+/eXWhYeHAxAaGnrb7YSGhpKXl8exY+UvBivddum+GgK7XqE4/XUBKi+vMstVXt44/XUBdr1uf8yEEEIIIe52FldW0bdvX/z8/Ni8eTPTpk2jQ4cOQHEpxOeff46trS0TJkwwtk9LSyM9PR1PT0+8bkkMH3roIbZs2cLHH39cbhKQ/fv306tXrxoP42bp7HqFYtszpNYz5AkhhBBC3O0sLjm2tbXlzTffZMaMGUyZMoXRo0ej0WjYsWMH8fHxPPPMM2WS2h9++IFFixYxd+5c5s2bZ1zep08fHnzwQdasWcOECRMYOHCgcfpojUbDP//5TzM8u7qnUqux7RB8+4ZCCCGEEKIci0uOoTixXbFiBZ9++inbtm2jqKiIgIAA5s+fz9ixlY8k8GdvvPEGQUFBrF69mmXLluHs7MzgwYNZsGBBg+s1FkIIIYQQd06lKNWcn/gul5eXR1hYGEuWLKnWaBVCCCGEEML6SDGqEEIIIYQQJSQ5FkIIIYQQooQkx0IIIYQQQpSQ5FgIIYQQQogSkhwLIYQQQghRQpJjIYQQQgghSkhyLIQQQgghRAmLnATEEpUOB52fn2/mSIQQQgghGj4nJydUKlW971eS42rKysoC4KmnnjJzJEIIIYQQDd9XX32Fh4dHve9XkuNqcnFxITo6mt27d6PRaMwdjsXLzc3l3nvvZe/evbi4uJg7HIsmx6pm5HjVjByv6pNjVTNyvKpPjlXNlB4vGxsbs+xfkuNqUqvV6HQ6nJ2dZfroajAYDBgMBpycnOR43YYcq5qR41UzcryqT45Vzcjxqj45VjVTerzMUVIBckGeEEIIIYQQRpIcCyGEEEIIUUKS42qyt7dn7ty52NvbmzsUqyDHq/rkWNWMHK+akeNVfXKsakaOV/XJsaoZcx8vlVI6RpkQQgghhBB3Oek5FkIIIYQQooQkx0IIIYQQQpSQ5FgIIYQQQogSkhwLIYQQQghR4q6eBOTw4cPs2rWL06dPEx0dTU5ODhMmTOCdd96p1fb27dvHl19+yZkzZ1AUhU6dOjFz5kwGDBhQYfvk5GQ+/vhj9uzZQ2ZmJs2aNWPMmDHMnDnTIq9oNUW8CxcuZNGiRVW2mTRpEm+//bbx/ksvvcSGDRsqbNu6dWu2b99e/SdRj0z19w0KCqp03d/+9jdmzpxZZ/uuL6aINzY2lu3bt7Nv3z7i4uLIyMjA29ub3r17M2vWLNq2bVvuMZZ8bp08eZKFCxcSFRVFUVERAQEBhIWFMWbMmGpvw2AwsGLFClavXk1cXBzOzs707t2bBQsW4O/vX2f7NYc7jfvIkSPs3LmTyMhIEhISyMvLo3nz5gwdOpRZs2bh5uZW7jFDhgwhISGhwu395S9/4Y033rij51RX7vRYHTp0iGnTplW6fvXq1XTr1s3k+zWXO437scceIzIysso2//3vfxk/frzxvjWeWxs3buTo0aOcPn2a8+fPU1RUxH/+8x8mTpxYo+1YwuvWXZ0cr1u3jg0bNuDk5ETTpk3Jycmp9bY2bdrE888/j6enJxMmTEClUrFt2zZmzJjBe++9x9ixY8u0T05O5qGHHuLGjRsMGzYMf39/jh49avzjfvnll6jVltOxb6p4Q0NDmTt3boXr1qxZQ1JSEv37969w/bRp08q9QXl6etb8ydQDU/99mzdvzoQJE8ot79GjR53vu66ZKt5PPvmErVu3EhgYyNChQ9FoNJw/f56NGzfyyy+/8M033xASElLhYy3t3Dp06BDTp0/Hzs6OUaNG4erqyo4dO3juuedISEjgqaeeqtZ2Xn/9dX788UcCAgKYOnUqqampbN26lfDwcFatWkVAQECd7Le+mSLu+fPnk56eTs+ePRk3bhwqlYrIyEi+/vprduzYwapVq/D29i73OFdXV8LCwsot79Spk0mem6mZ8m8cGhpKaGhoueVNmjSp0/3WJ1PEPWHChAqPk06nY/HixajVavr27VtuvbWdW5988gkJCQl4enri6+tbaXJ/OxbxuqXcxU6ePKmcP39e0el0yvHjx5XAwEDlxRdfrPF2MjIylJCQEKV3797K9evXjcuTkpKUfv36KSEhIUpGRkaZx7zwwgtKYGCg8sMPPxiXGQwG5cUXX1QCAwOVtWvX1v6J1YG6jjc5OVkJDg5WQkNDlcLCwjLrSvdx7dq1O9pHfTLl8QoMDFSmTp1qln3XB1PFu27dOuXs2bPllm/evFkJDAxURo4cWW6dJZ5bRUVFyrBhw5ROnTopZ86cMS7Pzs5WRo0apQQHBytXrly57XYOHjyoBAYGKlOmTCnzP3XgwAElKChIefTRR+tkv/XNVHEvXrxYSUpKKrPMYDAor7/+uhIYGKj885//LPeYwYMHK4MHD77j51BfTHWsIiIilMDAQOXTTz+t1/3Wt7qOe/v27UpgYKAya9ascuus7dxSFEUJDw9X4uPjFUUp/n8KDAxU1q1bV6NtWMrrluV0H5lB586dadeuHTY2Nne0ne3bt5OVlcXUqVNp2rSpcbmvry/Tpk0jKyurzNezOTk5bN26FT8/Px555BHjcpVKxbPPPotarWbNmjV3FJMp1Ue869evR6fTMW7cOIv82r8mzPn3vZvPrYkTJ9K+fftyy0eNGoW/vz8XL14kLS3NZLHXlYiICK5evcro0aMJDg42LtdoNMyePRudTsf69etvu53S4/bMM8+U+Z/q27cv/fv35/Dhw1y5csXk+61vpop75syZ+Pr6llmmUqmYPXs2UFyGZ+3M9Te+28+typT+j06ePPmOY7UE99xzD82bN7+jbVjK69ZdXVZhKqW1RBWVAwwYMIAPPviAyMhI/vKXvwAQFRWFVqvlnnvuQaVSlWnv6+tLYGAgJ06coLCwEAcHh7p/ArdRH/GuW7cOgAcffLDSNnv27CE3Nxd7e3uCgoIIDQ294w82daEujldWVhZr1qwhNTUVLy8vQkNDK6y9knOrYnZ2dgDY2lb8kmdJ51ZVryf9+vUr06Yqhw4dwtnZucLSm/79+7Nv3z4OHz5M69atTbrf+lbXcZeeM5WdD1qtlg0bNpCUlISbmxs9evSo8EOaJTD1sYqNjWXp0qUUFBTQrFkz7rnnHry8vOp8v/WlLuNOTEwkPDwcHx8fBg0aVGEbazq3TMVSXrckOTaB2NhYAFq1alVuXemyuLg447LS25UVlrdq1YqYmBiuXbtWrrbGHOo63iNHjhAbG0u3bt1o165dpe3+fAGCv78/H374IR07dqzxPutSXRyvmJgYXn31VeN9lUrFmDFjeOONN3BycqrTfdel+oj35MmTXLhwgc6dO1d4URVY1rlV1euJu7s7np6eZV5PKpKXl0dycjKBgYEVJnWlx7t0X6barznUddylH9xL32j/LDk5mZdeeqnMsgEDBvDuu+9WmCiak6mP1ebNm9m8ebPxvqOjI/PmzWPGjBl1ut/6Updxr1u3DoPBwIQJEyr90G5N55YpWNLrliTHJlB6IZ+rq2u5dc7OztjY2JCdnW1cVnq7ovZQ/HXAre3Mra7jXbt2LVD5V0u9evViyJAhdOnSBU9PT+Lj41m9ejXLly/nySefZNOmTTRu3LhW+64Lpj5eTz75JCNGjKBVq1aoVCqio6P56KOP2LRpE3q9ng8//LDO9l3X6jre7OxsXnzxRdRqNc8//3y59ZZ4blX1egLFxyQxMbHKbZQer9LjV9E2bt2XqfZrDnUZ99mzZ/nss8/w9vYul/BBcSlPaGgoAQEB2Nvbc+nSJRYtWsTevXuZPXs2K1euLPeNiDmZ6lh5eXnxwgsvMGjQIJo1a0ZWVhaHDh3i/fff57333kOj0fDwww+bfL/1ra7iVhTF+FV/Ze971nZumYIlvW5ZfXLcu3dvMjIyqt1+6dKl9O7du+4CsmCWeKxycnLYvn07zs7OjBw5ssI2kyZNKnO/bdu2vPzyyzg5OfHFF1/w/fff8+KLL5o8Nks5Xn9+bn369OH7779n3LhxbNmyhaeffrrKHvf6YCnH6laFhYXMnTuXy5cvs2DBggr3Z65zS1i+a9euMWvWLOMH0Ip66v488k7Xrl1ZvHgxU6dO5ejRo+zZs6fSr8ytWbt27cq85jg5OTF27Fjat2/PxIkTWbhwIQ899JBFjYpjSSIiIoiPjyc0NLTCHk+4e88tS2H1yfHo0aPJzc2tdvtGjRqZPIZbe7f+PPxTXl4eer2+zKea0tuV9Ybd7pNQbdX2WNVlvJs3byY/P5/Jkyfj4uJSo8dOnjyZL774guPHj9d4v9VhicerlJOTE6NGjeLzzz/n2LFjxjcqObeKabVa5syZQ0REBLNmzarxUD51fW5V5Xa95Tk5Obc9HqXrKxuesnT5rT00ptivOdRF3AkJCYSFhZGWlsbChQvp06dPtR+rVquZOHEiR48e5dixYxaVwNT13zgwMJCuXbty5MgR4uLijHWhcm6VVdsL8Sz53DIFS3rdsvrk+LXXXjN3CPj7+3P69Gni4uLKJceltS63fjosvX1r3cyfH6NWq/Hz8zNpnLU9VnUZb2lJRVUX4lWm9Fjn5+fX+LHVYYnH61YVPX85t4p7jGfPns3+/fuZMWMGzz77bI3jqutzqyqldXVxcXHlxjPNzMwkPT2d7t27V7kNZ2dnfHx8iI+PR6/Xl6vfKz3et9Z6m2K/5mDquOPj45k2bRo3b97k448/ZvDgwTWOyZznT1Xq429c+twLCgrqdb91oS7izszM5Ndff8XNzY3777+/xjFZ6rllCpb0uiXfeZhAr169ANi/f3+5dfv27QMoMwB4t27dsLe358CBAyiKUqb9zZs3OX/+PF27drWI0QSg7uI9d+4cp06dol27dhXOpnQ7J06cALjjoWNMrb7+vqXPv0WLFvW+b1Mxdby3JsZPPvlkhXXG1WHOc6uq15Pw8HCACicU+LPQ0FDy8vI4duxYuXWl2y7dlyn3W99MGfetifFHH33EsGHDahXTyZMnAct7barrv7FOpyM6OhqVSlVmWFM5t/6wadMmtFotY8aMwdHRscYxWeq5ZSqW8rolyXEN5Ofnc+nSJa5fv15m+YgRI3B1dWX58uXcuHHDuPzmzZssXboUNzc3HnjgAeNyjUbDyJEjuXbtGitXrjQuVxSFDz/8EIPBUKue1LpSm3grO1a3ut2FeFB8te7Vq1fLLU9KSuLNN98Eir/StySmPF7R0dEV9hBs27aNLVu24OnpWWZmpbv53Lo1MX7iiSduWytsqedW37598fPzY/PmzZw9e9a4PCcnh88//xxbW9sysyWmpaVx6dKlcmM4P/TQQwB8/PHHaLVa4/KDBw+yf/9+evXqZfzauzb7tRSmOl6liXFSUhIffvghw4cPr3K/Fy9eJCsrq9zyI0eO8N1332Fvb8999913h8/OtEx1rI4fP17uw6xOp+Pdd98lISGB/v374+HhUev9WgpTHa9bVed9zxrPrZqy9NctlfLnM/wucuTIEeOJmpaWxp49e2jZsiU9e/YEoE2bNsycOdPYvnQ++dDQUJYtW1ZmWxs3buSFF17A09OTUaNGGaePTklJ4d1332XcuHFl2t+8eZOHHnqIxMREhg8fjr+/P0eOHOHYsWP079+fr776yqIuZqhpvFUdKyiuCR0wYAC5ubns3bu30mFpDh06RFhYGD179qRNmza4u7uTkJDA77//Tl5eHhMmTOA///mPxV21a6rj9dJLL7Fz50769u1L06ZNURSF6Ohojhw5goODAwsXLmTgwIF3tG9zM+Wx2rBhAz4+PsYxxf9swoQJxp52Sz63IiIimDFjBnZ2dowePRqNRsOOHTuIj4/nmWee4emnnza2XbhwIYsWLWLu3LnMmzevzHZeffVV1qxZQ0BAAAMHDjROw+rg4FDhNKw12a8lMcXxGjJkCAkJCXTr1q3SKexvbb9w4UK+/vpr+vbtS/PmzbG3t+f8+fOEh4ejVqv517/+ZVEfREuZ6lgBdO/encaNG5OdnW2cnKFZs2YsX768XM/m3XxulTp9+jSTJk2iY8eOVU5MYa3n1po1azh69CgA58+f58yZM/To0cNYPjds2DDjtzGW/rpl9TXHd+Lq1ats2LCh3LLS3qTQ0NAyyXFVxo0bh6enJ19++aXxpO/YsSPvvPMOAwYMKNfe19eXH3/8kY8//pg9e/awe/dumjVrxrx585g5c6ZFJS9g+nh37txJRkYGI0aMqHK8xpYtWzJ58mROnjzJL7/8Qm5uLhqNhu7duzN58uRKR7gwN1Mdr6FDh5KVlcWZM2fYt28fOp2Oxo0bM3nyZJ588knatm1bZ/uuL6aKNyEhASjuEV60aFGFbUJDQ43JsSWfW3369GHFihV8+umnbNu2jaKiIgICApg/fz5jx46t9nbeeOMNgoKCWL16NcuWLcPZ2ZnBgwezYMGCMr0vpt5vfTNF3KXnT1RUFFFRURW2ufVNvHfv3ly6dIno6GgiIyPRarV4e3szcuRIHn/8cbp06XLHz6sumOJYPfzww+zbt4/IyEjS09OxtbWlZcuWPPXUUzz55JO4u7vXyX7NwZRxV6fXGKz33Dp69Gi5nOrYsWPGEonmzZtXq1TJEl637uqeYyGEEEIIIW5lWV1IQgghhBBCmJEkx0IIIYQQQpSQ5FgIIYQQQogSkhwLIYQQQghRQpJjIYQQQgghSkhyLIQQQgghRAlJjoUQQgghhCghybEQQgghhBAlJDkWQgghhBCihCTHQghxB+Lj4wkKCuKll14ydyi3ZU2xCiGEuUhyLIQQQgghRAlJjoUQQgghhCghybEQQgghhBAlbM0dgBBCNFTXr19n0aJF7Nu3j/T0dLy8vOjfvz/z5s2jadOm5drHxMTwwQcfcOTIEdRqNT169OD555/n22+/ZcOGDfz222+0aNHitvvV6/V88803rFmzhsTERJo0acLkyZMZOXJkpY+5cOECn332GYcOHSI7OxtfX1+GDRvG7Nmz8fDwKNM2NjaWxYsXc+jQIZKTk3F2dqZZs2b07t27XD1zTk4O3377Lb/88gvXrl3D3t6erl278vTTTxMSElK9AymEEPVIkmMhhKgDsbGxTJkyhdTUVAYPHky7du24cOEC69at4/fff2flypW0atXK2D4mJoYpU6ZQUFDA8OHDadWqFWfOnGHKlCm0b9++Rvt+7bXXWLduHS1atODRRx+lsLCQ7777juPHj1fY/tixY0yfPh2tVsv9999P8+bNiYqKYsmSJezZs4dVq1bh6ekJQFJSEg8++CD5+fkMHDiQkSNHkpeXR1xcHMuXLy+THGdkZDB16lQuXLhASEgI/fv3Jzs7m99++42wsDA++eQThg0bVoujK4QQdUgRQghRa9euXVMCAwOVF198sczyadOmKYGBgcqqVavKLF+1apUSGBiohIWFlVn+yCOPKIGBgcq2bdvKLP/000+VwMBAJTAwULl27dpt44mIiFACAwOVsWPHKrm5ucbliYmJSu/evcvFqtfrlfvuu08JDAxU9u7dW2ZbH3zwgRIYGKi8/PLLxmVLly5VAgMDlSVLlpTbd2pqapn7zz77rBIYGKisXbu2zPLk5GRl4MCBSp8+fZSCgoLbPichhKhPUnMshBAmduPGDSIiIggICOChhx4qs+6hhx6ibdu2HDx4kBs3bgCQkJDA0aNHCQ4O5oEHHijTfsaMGeXKGqry008/ATBnzhycnZ2Nyxs3bsy0adPKtT927BixsbHce++9DBgwoMy6p556Cg8PDzZv3oxWqy2zztHRsdy2vLy8jLfT0tLYtm0bffv2ZdKkSWXaNWrUiOnTp5OWlsaBAweq/dyEEKI+SFmFEEKYWHR0NAC9evVCpVKVWadSqQgJCeHSpUvExMTQtGlTYmJiAOjevXu5bTk5OREUFMShQ4eqte9z584BVFjPW9Gy0lhDQ0PLrXN2dqZTp07s37+f2NhYAgMDGTRoEB988AFvvPEG4eHhDBgwgJ49e9K6desyjz116hR6vZ7CwkIWLlxYbtuxsbEAXL58mcGDB1fruQkhRH2Q5FgIIUwsJycHKO4hrYiPjw8A2dnZZdrf2vN6q8q2U5Hs7GzUarWxRvhW3t7edxyrn58fq1at4rPPPmPv3r1s374dgNatWzN//nxGjBgBQGZmJlDcM33s2LFK483Pz6/uUxNCiHohybEQQpiYRqMBICUlpcL1pctL25X+TktLq7J9dbi6umIwGIyjY9wqNTX1jmMFaN++PQsXLqSoqIgzZ86wd+9eli1bxoIFC/D19aVnz57G9k8++SQvvvhiteMXQghzk5pjIYQwsQ4dOgBw5MgRFEUps05RFI4ePVqmXeloFBWNJpGfn28slaiOoKAg477/rKJlwcHBAERGRla479OnT+Po6FiubALAzs6Obt268de//pVXXnkFRVH4/fffAejcuTMqlarSETKEEMJSSXIshBAmVjrm74ULF1i7dm2ZdWvXruXChQv06dPHONZx8+bN6dGjB9HR0cYyhVLffPMNGRkZ1d73+PHjAfjss8/Iy8szLk9KSmLp0qXl2vfo0YOWLVuyd+/echfHLV68mPT0dEaNGoW9vT0AJ0+erLAHunSZg4MDUFyOMWLECI4fP87XX39d7kMCwIkTJ6SsQghhcVRKRa9YQgghqiU+Pp6hQ4cyYcIE3nnnHePyy5cvM2XKFDIyMhgyZAgBAQFcvHiRXbt24enpyYoVK8r0xkZHRxvHJL7vvvto2bIlZ86c4cSJE7Rv357Dhw+ze/dumjVrdtuY/v73v7N+/XpatGjB8OHD0Wq1bN26lW7durF79+5ysR45coQZM2ag0+mM4xyfOHGCiIgIWrZsyerVq40lGm+99RYrV64kNDSUli1botFouHjxInv37sXNzY2ffvqJJk2aAMXjHD/++OOcPXuWwMBAunfvjkajITExkTNnzhAbG8v+/fuNdc1CCGEJpOZYCCHqQJs2bVi3bp1xhrw9e/bg6enJhAkTmDt3Ls2bNy/TPjg4mBUrVvD++++zZ88eVCoVPXv2ZMWKFXz44YdA2brfqrz55pu0bt2aH3/8keXLl9OkSROeeOIJRowYwe7du8u1DwkJYfXq1Xz22WeEh4eTk5ODr68vjz32GLNnzy5Tuzx69GgKCws5fvw4p06dQqvV0qRJE6ZMmcL06dONiTGAh4cHq1atYvny5WzdupWff/4Zg8FAo0aNaN++PU8//XSFFw4KIYQ5Sc+xEEJYML1ez/DhwykoKJAxgYUQoh5IzbEQQlgAnU5X4WgVX375JQkJCTLNshBC1BPpORZCCAuQlZXFPffcQ79+/fD390en03HixAlOnTqFj48P69evx9fX19xhCiFEgyfJsRBCWACtVsvbb79NREQEN2/eRKvV4uPjw4ABA5gzZw6NGzc2d4hCCHFXkORYCCGEEEKIElJzLIQQQgghRAlJjoUQQgghhCghybEQQgghhBAlJDkWQgghhBCihCTHQgghhBBClJDkWAghhBBCiBKSHAshhBBCCFFCkmMhhBBCCCFK/D8CyB6PUcu5wQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 700x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample posterior probabilities\n",
    "xt = np.linspace(-1, 1, 100)\n",
    "fs = expit(samp_A[:, None] + samp_B[:, None]*xt)\n",
    "\n",
    "fig, (ax_0, ax_1) = plt.subplots(\n",
    "    2, 1, figsize=(7, 8), sharex=True\n",
    ")\n",
    "\n",
    "# First 10 sample curves\n",
    "ax_0.plot(xt, fs[:10].T, color=\"C0\")\n",
    "ax_0.plot(x, y/n, \"C2o\")\n",
    "ax_0.set(xlim=(-1, 1), ylabel=\"proportion of deaths\")\n",
    "\n",
    "# Posterior mean and 5–95% interval\n",
    "mean_fs = fs.mean(axis=0)\n",
    "ci_fs = np.percentile(fs, [5, 95], axis=0)\n",
    "\n",
    "ax_1.plot(xt, mean_fs, color=\"C0\")\n",
    "ax_1.plot(xt, ci_fs.T, \"C0--\")\n",
    "ax_1.plot(x, y/n, \"C2o\")\n",
    "ax_1.set(xlim=(-1, 1), xlabel=\"log dose\", ylabel=\"proportion of deaths\");\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1150x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the histogram of LD50\n",
    "_, ax = plt.subplots()\n",
    "ax.hist(samp_ld50, np.arange(-0.5, 0.51, 0.02))\n",
    "ax.set(xlim=([-0.5, 0.5]),\n",
    "       yticks=[],\n",
    "       xlabel=r'LD50 = -$\\alpha/\\beta$');"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "bda_py_demos",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
